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56056670208 = 21132711127311
BaseRepresentation
bin110100001101001111…
…001110100000000000
312100200200111220012200
4310031033032200000
51404301001421313
641430240553200
74023064556250
oct641517164000
9170620456180
1056056670208
1121856590020
12aa45322800
1353947bac56
1429dac91960
1516d1473b73
hexd0d3ce800

56056670208 has 576 divisors, whose sum is σ = 204095324160. Its totient is φ = 14399078400.

The previous prime is 56056670207. The next prime is 56056670231. The reversal of 56056670208 is 80207665065.

56056670208 is a `hidden beast` number, since 5 + 60 + 566 + 7 + 0 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (56056670207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180246373 + ... + 180246683.

It is an arithmetic number, because the mean of its divisors is an integer number (354332160).

Almost surely, 256056670208 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 56056670208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102047662080).

56056670208 is an abundant number, since it is smaller than the sum of its proper divisors (148038653952).

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

56056670208 is a wasteful number, since it uses less digits than its factorization.

56056670208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 56056670208 in words is "fifty-six billion, fifty-six million, six hundred seventy thousand, two hundred eight".