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57511120064 = 261947295329
BaseRepresentation
bin110101100011111011…
…100000110011000000
312111110001022121022212
4311203323200303000
51420240321320224
642230434521252
74104115311656
oct654373406300
9174401277285
1057511120064
11224325897a2
12b190436228
135566c22378
142ad80d8dd6
151768ec1d0e
hexd63ee0cc0

57511120064 has 28 divisors (see below), whose sum is σ = 120130138200. Its totient is φ = 27242108928.

The previous prime is 57511120061. The next prime is 57511120103. The reversal of 57511120064 is 46002111575.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 57511120064.

It is not an unprimeable number, because it can be changed into a prime (57511120061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23646449 + ... + 23648880.

Almost surely, 257511120064 is an apocalyptic number.

It is an amenable number.

57511120064 is an abundant number, since it is smaller than the sum of its proper divisors (62619018136).

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

57511120064 is a wasteful number, since it uses less digits than its factorization.

57511120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47295360 (or 47295350 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 57511120064 in words is "fifty-seven billion, five hundred eleven million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 47295329 94590658 189181316 378362632 756725264 898611251 1513450528 1797222502 3026901056 3594445004 7188890008 14377780016 28755560032 57511120064