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56516943360 = 2935174310067
BaseRepresentation
bin110100101000101011…
…000001111000000000
312101212202121012021110
4310220223001320000
51411221314141420
641544042123320
74040354043423
oct645053017000
9171782535243
1056516943360
1121a72383059
12ab534b0540
135438c73927
142a420659ba
15170ba90ee0
hexd28ac1e00

56516943360 has 320 divisors, whose sum is σ = 195774112512. Its totient is φ = 13853392896.

The previous prime is 56516943359. The next prime is 56516943383. The reversal of 56516943360 is 6334961565.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5609047 + ... + 5619113.

Almost surely, 256516943360 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 56516943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97887056256).

56516943360 is an abundant number, since it is smaller than the sum of its proper divisors (139257169152).

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

56516943360 is a wasteful number, since it uses less digits than its factorization.

56516943360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153 (or 10137 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 56516943360 in words is "fifty-six billion, five hundred sixteen million, nine hundred forty-three thousand, three hundred sixty".