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57511825112 = 23717191316291
BaseRepresentation
bin110101100011111110…
…001100111011011000
312111110002122102110202
4311203332030323120
51420241011400422
642230502001332
74104124306340
oct654376147330
9174402572422
1057511825112
1122432a20485
12b190716248
13556710b261
142ad823dd20
1517690b0b92
hexd63f8ced8

57511825112 has 64 divisors (see below), whose sum is σ = 131172618240. Its totient is φ = 23076518400.

The previous prime is 57511825109. The next prime is 57511825127. The reversal of 57511825112 is 21152811575.

It is a super-2 number, since 2×575118251122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23687 + ... + 339977.

It is an arithmetic number, because the mean of its divisors is an integer number (2049572160).

Almost surely, 257511825112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57511825112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65586309120).

57511825112 is an abundant number, since it is smaller than the sum of its proper divisors (73660793128).

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

57511825112 is a wasteful number, since it uses less digits than its factorization.

57511825112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316512 (or 316508 counting only the distinct ones).

The product of its digits is 28000, while the sum is 38.

The spelling of 57511825112 in words is "fifty-seven billion, five hundred eleven million, eight hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 191 238 382 476 764 952 1337 1528 2674 3247 5348 6494 10696 12988 22729 25976 45458 90916 181832 316291 632582 1265164 2214037 2530328 4428074 5376947 8856148 10753894 17712296 21507788 37638629 43015576 60411581 75277258 120823162 150554516 241646324 301109032 422881067 483292648 845762134 1026996877 1691524268 2053993754 3383048536 4107987508 7188978139 8215975016 14377956278 28755912556 57511825112