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56575336896 = 2633136413929
BaseRepresentation
bin110100101100001001…
…110010000111000000
312102000211110220011000
4310230021302013000
51411331241240041
641553525452000
74041663300111
oct645411620700
9172024426130
1056575336896
1121aa2336a81
12ab6ab71000
1354480aa610
142a49b06208
151711c77bb6
hexd2c2721c0

56575336896 has 224 divisors, whose sum is σ = 179440027200. Its totient is φ = 17376215040.

The previous prime is 56575336859. The next prime is 56575336897. The reversal of 56575336896 is 69863357565.

56575336896 is a `hidden beast` number, since 5 + 6 + 5 + 7 + 533 + 6 + 8 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56575336897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14397460 + ... + 14401388.

It is an arithmetic number, because the mean of its divisors is an integer number (801071550).

Almost surely, 256575336896 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 56575336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89720013600).

56575336896 is an abundant number, since it is smaller than the sum of its proper divisors (122864690304).

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

56575336896 is a wasteful number, since it uses less digits than its factorization.

56575336896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 4588 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 56575336896 in words is "fifty-six billion, five hundred seventy-five million, three hundred thirty-six thousand, eight hundred ninety-six".