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56416911408 = 243211133188379
BaseRepresentation
bin110100100010101101…
…011100000000110000
312101121210101001020100
4310202231130000300
51411020212131113
641530110112400
74035030556164
oct644255340060
9171553331210
1056416911408
1121a2096a620
12ab25aab700
13542131b720
142a32a66ca4
151702dd1d73
hexd22b5c030

56416911408 has 240 divisors, whose sum is σ = 191477744640. Its totient is φ = 15271718400.

The previous prime is 56416911391. The next prime is 56416911427. The reversal of 56416911408 is 80411961465.

56416911408 is a `hidden beast` number, since 5 + 6 + 416 + 91 + 140 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594163 + ... + 682541.

It is an arithmetic number, because the mean of its divisors is an integer number (797823936).

Almost surely, 256416911408 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 56416911408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95738872320).

56416911408 is an abundant number, since it is smaller than the sum of its proper divisors (135060833232).

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

56416911408 is a wasteful number, since it uses less digits than its factorization.

56416911408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88448 (or 88439 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 56416911408 in words is "fifty-six billion, four hundred sixteen million, nine hundred eleven thousand, four hundred eight".