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257538357087 = 311192914163689
BaseRepresentation
bin1110111111011001111…
…0110111011101011111
3220121202021212001222220
43233312132313131133
513204414304411322
6314151140440423
724415016626134
oct3576636673537
9817667761886
10257538357087
119a248763530
1241ab50a9113
131b393a89a0b
14c671a6a58b
156a74a2655c
hex3bf67b775f

257538357087 has 32 divisors (see below), whose sum is σ = 407914272000. Its totient is φ = 142769975040.

The previous prime is 257538357077. The next prime is 257538357113. The reversal of 257538357087 is 780753835752.

It is not a de Polignac number, because 257538357087 - 228 = 257269921631 is a prime.

It is a super-2 number, since 2×2575383570872 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257538357087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257538357007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7063662 + ... + 7100027.

It is an arithmetic number, because the mean of its divisors is an integer number (12747321000).

Almost surely, 2257538357087 is an apocalyptic number.

257538357087 is a deficient number, since it is larger than the sum of its proper divisors (150375914913).

257538357087 is a wasteful number, since it uses less digits than its factorization.

257538357087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163751.

The product of its (nonzero) digits is 49392000, while the sum is 60.

The spelling of 257538357087 in words is "two hundred fifty-seven billion, five hundred thirty-eight million, three hundred fifty-seven thousand, eighty-seven".

Divisors: 1 3 11 19 29 33 57 87 209 319 551 627 957 1653 6061 18183 14163689 42491067 155800579 269110091 410746981 467401737 807330273 1232240943 2960211001 4518216791 7804192639 8880633003 13554650373 23412577917 85846119029 257538357087