Number of the day: 96351501549

Properties of the number 96351501549:

96351501549 = 3 × 89 × 349 × 1034003 is composite and squarefree.
96351501549 has 4 distinct prime factors, 16 divisors, 23 antidivisors and 63330554496 totatives.
96351501549 = 48175750775² - 48175750774² = 16058583593² - 16058583590² = 541300615² - 541300526² = 180433657² - 180433390² = 138039575² - 138039226² = 46013657² - 46012610² = 1566535² - 1535474² = 563593² - 470410² is the difference of 2 nonnegative squares in 8 ways.
96351501549 is the sum of 2 positive triangular numbers.
96351501549 is the difference of 2 positive pentagonal numbers in 4 ways.
96351501549 = 403² + 4928² + 310366² is the sum of 3 positive squares.
96351501549² = 52423952100² + 80841456549² = 42221444499² + 86608091280² = 8496402651² + 95976158460² = 49694184180² + 82547561499² is the sum of 2 positive squares in 4 ways.
96351501549² is the sum of 3 positive squares.
96351501549 is a proper divisor of 911⁶¹⁴⁸¹² - 1.

Number of the day: 5027778669

Properties of the number 5027778669:

5027778669 = 3 × 149 × 1637 × 6871 is the 4791579529^th composite number and is squarefree.
5027778669 has 4 distinct prime factors, 16 divisors, 19 antidivisors and 3326838720 totatives.
5027778669 has a semiprime digit sum 57 in base 10.
5027778669 = 2513889335² - 2513889334² = 837963113² - 837963110² = 16871815² - 16871666² = 5624137² - 5623690² = 1536487² - 1534850² = 514345² - 509434² = 369305² - 362434² = 132263² - 111650² is the difference of 2 nonnegative squares in 8 ways.
5027778669 is the sum of 2 positive triangular numbers.
5027778669 is the difference of 2 positive pentagonal numbers in 4 ways.
5027778669 = 232² + 253² + 70906² is the sum of 3 positive squares.
5027778669² = 1720917531² + 4724087340² = 872177256² + 4951551795² = 2517094656² + 4352331885² = 875331045² + 4950995244² is the sum of 2 positive squares in 4 ways.
5027778669² is the sum of 3 positive squares.
5027778669 is a proper divisor of 1321¹⁰¹⁶⁷⁶ - 1.
5027778669 = '502' + '7778669' is the concatenation of 2 semiprime numbers.

Number of the day: 27627

Properties of the number 27627:

27627 is a cyclic number.
27627 = 3 × 9209 is semiprime and squarefree.
27627 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 18416 totatives.
27627 has a triangular digit product 1176 in base 10.
27627 = 13814² - 13813² = 4606² - 4603² is the difference of 2 nonnegative squares in 2 ways.
27627 is the difference of 2 positive pentagonal numbers in 1 way.
27627 = 5² + 41² + 161² is the sum of 3 positive squares.
27627² = 10773² + 25440² is the sum of 2 positive squares in 1 way.
27627² is the sum of 3 positive squares.
27627 is a proper divisor of 79¹¹⁵¹ - 1.
27627 is an emirpimes in (at least) the following bases: 3, 9, 12, 17, 18, 19, 21, 24, 25, 26, 28, 29, 30, 34, 36, 37, 41, 46, 61, 62, 71, 73, 81, 88, 91, 92, 97, and 99.
27627 is palindromic in (at least) base 2.

The number 27627 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A111519: Sequence is {a(1,n)}, where a(m,n) is defined at sequence A111518.
A211389: a(n) is the first occurrence of n in sequence A209266.

Number of the day: 63445724

Properties of the number 63445724:

63445724 = 2² × 15861431 is the 59691564^th composite number and is not squarefree.
63445724 has 2 distinct prime factors, 6 divisors, 17 antidivisors and 31722860 totatives.
63445724 has a semiprime digit sum 35 in base 10.
63445724 = 41³ + 243³ + 366³ = 244³ + 281³ + 299³ = 26³ + 95³ + 397³ = 1³ + 122³ + 395³ is the sum of 3 positive cubes in 4 ways.
63445724 = 15861432² - 15861430² is the difference of 2 nonnegative squares in 1 way.
63445724 is the difference of 2 positive pentagonal numbers in 1 way.
63445724 is not the sum of 3 positive squares.
63445724² is the sum of 3 positive squares.
63445724 is a proper divisor of 769²⁴⁴⁰²² - 1.

Number of the day: 771083766

Properties of the number 771083766:

771083766 = 2 × 3³ × 79 × 180751 is the 731349747^th composite number and is not squarefree.
771083766 has 4 distinct prime factors, 32 divisors, 17 antidivisors and 253773000 totatives.
771083766 has a triangular digit sum 45 in base 10.
771083766 = 49² + 274² + 27767² is the sum of 3 positive squares.
771083766² is the sum of 3 positive squares.
771083766 is a proper divisor of 359⁹⁷⁵⁰ - 1.
771083766 = '771083' + '766' is the concatenation of 2 emirpimes.
771083766 = '7710837' + '66' is the concatenation of 2 sphenic numbers.

Number of the day: 68711

Properties of the number 68711:

68711 is a cyclic number.
68711 and 68713 form a twin prime pair.
68711 has 15 antidivisors and 68710 totatives.
68711 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 68711 results in a sphenic number.
68711 = 34356² - 34355² is the difference of 2 nonnegative squares in 1 way.
68711 is the difference of 2 positive pentagonal numbers in 1 way.
68711 is not the sum of 3 positive squares.
68711² is the sum of 3 positive squares.
68711 is a proper divisor of 73⁶⁸⁷¹ - 1.
68711 = '6' + '8711' is the concatenation of 2 semiprime numbers.
68711 is an emirp in (at least) the following bases: 5, 6, 11, 25, 29, 31, 33, 34, 41, 44, 51, 81, 83, 86, and 93.
68711 is palindromic in (at least) the following bases: 54, and -46.
68711 in base 45 = Xff and consists of only the digits 'X' and 'f'.
68711 in base 53 = OON and consists of only the digits 'N' and 'O'.
68711 in base 54 = NUN and consists of only the digits 'N' and 'U'.

The number 68711 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A122712: Least prime P of a quartet of 4 different primes with 2 pairs of twin primes, the first pair of twin primes P and P+2, the second one Q and Q+2 with Q such that all digits are the same as P if not 6 or 9 and if 6 then replace with 9 if 9 replace with 6.

Number of the day: 36468

Properties of the number 36468:

36468 = 2² × 3² × 1013 is the 32602^th composite number and is not squarefree.
36468 has 3 distinct prime factors, 18 divisors, 11 antidivisors and 12144 totatives.
36468 = 9118² - 9116² = 3042² - 3036² = 1022² - 1004² is the difference of 2 nonnegative squares in 3 ways.
36468 is the sum of 2 positive triangular numbers.
36468 is the difference of 2 positive pentagonal numbers in 1 way.
36468 = 132² + 138² is the sum of 2 positive squares in 1 way.
36468 = 10² + 32² + 188² is the sum of 3 positive squares.
36468² = 1620² + 36432² is the sum of 2 positive squares in 1 way.
36468² is the sum of 3 positive squares.
36468 is a proper divisor of 739²² - 1.
36468 is palindromic in (at least) the following bases: 45, 86, -38, -45, and -56.
36468 in base 17 = 7733 and consists of only the digits '3' and '7'.
36468 in base 37 = QNN and consists of only the digits 'N' and 'Q'.
36468 in base 44 = Iaa and consists of only the digits 'I' and 'a'.
36468 in base 45 = I0I and consists of only the digits '0' and 'I'.
36468 in base 55 = C33 and consists of only the digits '3' and 'C'.

The number 36468 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A157505: 1458n + 18.
A157719: Smallest k such that p^p -+ k is prime, where p=prime(n).
A274159: Number of integers in n-th generation of tree T(3^(-1/3)) defined in Comments.