## Blaise Pascal was born on this day 393 years ago.

### Properties of the number 38680245334015:

38680245334015 = 5 × 89 × 18553 × 4685059 is composite and squarefree.38680245334015 has 4 distinct prime factors, 16 divisors, 23 antidivisors and 30594852997632 totatives.

Reversing the decimal digits of 38680245334015 results in a sphenic number.

38680245334015 = 19340122667008

^{2}- 19340122667007

^{2}= 3868024533404

^{2}- 3868024533399

^{2}= 217304749112

^{2}- 217304749023

^{2}= 43460950036

^{2}- 43460949591

^{2}= 1042434904

^{2}- 1042416351

^{2}= 208531508

^{2}- 208438743

^{2}= 12538256

^{2}- 10887039

^{2}= 6470572

^{2}- 1785513

^{2}is the difference of 2 nonnegative squares in 8 ways.

38680245334015 is the difference of 2 positive pentagonal numbers in 8 ways.

38680245334015 is not the sum of 3 positive squares.

38680245334015

^{2}= 16949770427265

^{2}+ 34768759850800

^{2}= 7430316171640

^{2}+ 37959870662175

^{2}= 25327241551640

^{2}+ 29235119539425

^{2}= 7301439568668

^{2}+ 37984870136999

^{2}= 2720721517657

^{2}+ 38584440562524

^{2}= 16831669459993

^{2}+ 34826086232724

^{2}= 17645145624281

^{2}+ 34421072252292

^{2}= 8191750700556

^{2}+ 37802864964967

^{2}= 25909706826756

^{2}+ 28720175334617

^{2}= 23208147200409

^{2}+ 30944196267212

^{2}= 14462196185684

^{2}+ 35874869485287

^{2}= 23928671794137

^{2}+ 30390459773884

^{2}= 9955164742625

^{2}+ 37377213299640

^{2}is the sum of 2 positive squares in 13 ways.

38680245334015

^{2}is the sum of 3 positive squares.

38680245334015 is a divisor of 31

^{221009976}- 1.

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