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56608031520 = 25335194391571
BaseRepresentation
bin110100101110000110…
…100000001100100000
312102010002222221202000
4310232012200030200
51411413124002040
642001054324000
74042541220525
oct645606401440
9172102887660
1056608031520
1122009837a27
12ab79ab9600
135451ab6c51
142a501b714c
151714a85130
hexd2e1a0320

56608031520 has 384 divisors, whose sum is σ = 209164032000. Its totient is φ = 14259317760.

The previous prime is 56608031483. The next prime is 56608031573. The reversal of 56608031520 is 2513080665.

56608031520 is a `hidden beast` number, since 56 + 6 + 0 + 80 + 3 + 1 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36032335 + ... + 36033905.

It is an arithmetic number, because the mean of its divisors is an integer number (544698000).

Almost surely, 256608031520 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 56608031520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104582016000).

56608031520 is an abundant number, since it is smaller than the sum of its proper divisors (152556000480).

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

56608031520 is a wasteful number, since it uses less digits than its factorization.

56608031520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 56608031520 in words is "fifty-six billion, six hundred eight million, thirty-one thousand, five hundred twenty".