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56556601920 = 2633571371933
BaseRepresentation
bin110100101011000010…
…010100001001000000
312101222112020001121000
4310223002110021000
51411311442230140
641552020132000
74041345120150
oct645302241100
9171875201530
1056556601920
1121a92800125
12ab64837000
13544424ac30
142a4742a760
1517102c6a30
hexd2b094240

56556601920 has 448 divisors, whose sum is σ = 245565411840. Its totient is φ = 11932655616.

The previous prime is 56556601897. The next prime is 56556601931. The reversal of 56556601920 is 2910665565.

56556601920 is a `hidden beast` number, since 5 + 6 + 556 + 6 + 0 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 750274 + ... + 822206.

It is an arithmetic number, because the mean of its divisors is an integer number (548137080).

Almost surely, 256556601920 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 56556601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122782705920).

56556601920 is an abundant number, since it is smaller than the sum of its proper divisors (189008809920).

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

56556601920 is a wasteful number, since it uses less digits than its factorization.

56556601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71979 (or 71963 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 56556601920 in words is "fifty-six billion, five hundred fifty-six million, six hundred one thousand, nine hundred twenty".