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56152020960 = 25335718110259
BaseRepresentation
bin110100010010111010…
…111101011111100000
312100221022221012212000
4310102322331133200
51404444404132320
641443524404000
74025333205630
oct642272753740
9170838835760
1056152020960
11218a53964a2
12aa71246600
1353ab494509
142a097d26c0
1516d9a0ac90
hexd12ebd7e0

56152020960 has 384 divisors, whose sum is σ = 225871027200. Its totient is φ = 12762593280.

The previous prime is 56152020943. The next prime is 56152020983. The reversal of 56152020960 is 6902025165.

56152020960 is a `hidden beast` number, since 56 + 1 + 520 + 20 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5468311 + ... + 5478569.

It is an arithmetic number, because the mean of its divisors is an integer number (588205800).

Almost surely, 256152020960 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 56152020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112935513600).

56152020960 is an abundant number, since it is smaller than the sum of its proper divisors (169719006240).

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

56152020960 is a wasteful number, since it uses less digits than its factorization.

56152020960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 56152020960 in words is "fifty-six billion, one hundred fifty-two million, twenty thousand, nine hundred sixty".