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257228996937 = 31163112353119
BaseRepresentation
bin1110111110010000001…
…0110000000101001001
3220120221201201221122120
43233210002300011021
513203301110400222
6314100330041453
724404242253403
oct3574402600511
9816851657576
10257228996937
119a0aa076690
1241a29579289
131b344962683
14c64293bb73
156a577b915c
hex3be40b0149

257228996937 has 16 divisors (see below), whose sum is σ = 374744248320. Its totient is φ = 155649286800.

The previous prime is 257228996873. The next prime is 257228996989. The reversal of 257228996937 is 739699822752.

It is a happy number.

It is not a de Polignac number, because 257228996937 - 26 = 257228996873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257228926937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6155737 + ... + 6197382.

It is an arithmetic number, because the mean of its divisors is an integer number (23421515520).

Almost surely, 2257228996937 is an apocalyptic number.

It is an amenable number.

257228996937 is a deficient number, since it is larger than the sum of its proper divisors (117515251383).

257228996937 is a wasteful number, since it uses less digits than its factorization.

257228996937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12353764.

The product of its digits is 205752960, while the sum is 69.

The spelling of 257228996937 in words is "two hundred fifty-seven billion, two hundred twenty-eight million, nine hundred ninety-six thousand, nine hundred thirty-seven".

Divisors: 1 3 11 33 631 1893 6941 20823 12353119 37059357 135884309 407652927 7794818089 23384454267 85742998979 257228996937