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257996699772 = 223719915434117
BaseRepresentation
bin1111000001000111001…
…1010011100001111100
3220122221020022021221220
43300101303103201330
513211334123343042
6314304432353340
724432253523160
oct3602163234174
9818836267856
10257996699772
119a463458139
12420026a5850
131b437a17ac6
14c6b689aca0
156a9edb18ec
hex3c11cd387c

257996699772 has 48 divisors (see below), whose sum is σ = 691448486400. Its totient is φ = 73342919232.

The previous prime is 257996699731. The next prime is 257996699773. The reversal of 257996699772 is 277996699752.

257996699772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257996699773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7700343 + ... + 7733774.

It is an arithmetic number, because the mean of its divisors is an integer number (14405176800).

Almost surely, 2257996699772 is an apocalyptic number.

It is an amenable number.

257996699772 is an abundant number, since it is smaller than the sum of its proper divisors (433451786628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257996699772 is a wasteful number, since it uses less digits than its factorization.

257996699772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15434330 (or 15434328 counting only the distinct ones).

The product of its digits is 1620304560, while the sum is 78.

The spelling of 257996699772 in words is "two hundred fifty-seven billion, nine hundred ninety-six million, six hundred ninety-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1393 2388 2786 4179 5572 8358 16716 15434117 30868234 46302351 61736468 92604702 108038819 185209404 216077638 324116457 432155276 648232914 1296465828 3071389283 6142778566 9214167849 12285557132 18428335698 21499724981 36856671396 42999449962 64499174943 85998899924 128998349886 257996699772