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56559697920 = 215325112317
BaseRepresentation
bin110100101011001110…
…001000000000000000
312101222202001100111200
4310223032020000000
51411313240313140
641552210341200
74041413333325
oct645316100000
9171882040450
1056559697920
1121a94525200
12ab6588a800
135444a9319b
142a479d4b4c
1517106d9030
hexd2b388000

56559697920 has 576 divisors, whose sum is σ = 216195508620. Its totient is φ = 13668188160.

The previous prime is 56559697837. The next prime is 56559697949. The reversal of 56559697920 is 2979695565.

56559697920 is a `hidden beast` number, since 5 + 6 + 559 + 6 + 9 + 79 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50118672384 + 6441025536 = 223872^2 + 80256^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178421602 + ... + 178421918.

Almost surely, 256559697920 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 56559697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108097754310).

56559697920 is an abundant number, since it is smaller than the sum of its proper divisors (159635810700).

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

56559697920 is a wasteful number, since it uses less digits than its factorization.

56559697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 45927000, while the sum is 63.

The spelling of 56559697920 in words is "fifty-six billion, five hundred fifty-nine million, six hundred ninety-seven thousand, nine hundred twenty".