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257679821157 = 31113956176111
BaseRepresentation
bin1110111111111011101…
…0100000100101100101
3220122010011001012012220
43233332322200211211
513210212013234112
6314213152502553
724421355224623
oct3577672404545
9818104035186
10257679821157
119a3105a5590
1241b3454aa59
131b3b718a575
14c686772513
156a8216b98c
hex3bfeea0965

257679821157 has 16 divisors (see below), whose sum is σ = 377503472640. Its totient is φ = 155046063600.

The previous prime is 257679821111. The next prime is 257679821251. The reversal of 257679821157 is 751128976752.

It is not a de Polignac number, because 257679821157 - 28 = 257679820901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257679821157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257679821257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28083469 + ... + 28092642.

It is an arithmetic number, because the mean of its divisors is an integer number (23593967040).

Almost surely, 2257679821157 is an apocalyptic number.

It is an amenable number.

257679821157 is a deficient number, since it is larger than the sum of its proper divisors (119823651483).

257679821157 is a wasteful number, since it uses less digits than its factorization.

257679821157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56176264.

The product of its digits is 14817600, while the sum is 60.

The spelling of 257679821157 in words is "two hundred fifty-seven billion, six hundred seventy-nine million, eight hundred twenty-one thousand, one hundred fifty-seven".

Divisors: 1 3 11 33 139 417 1529 4587 56176111 168528333 617937221 1853811663 7808479429 23425438287 85893273719 257679821157