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56853941760 = 2932571173439
BaseRepresentation
bin110100111100110000…
…100100111000000000
312102202020201111011200
4310330300210320000
51412414102114020
642041321141200
74051615350150
oct647460447000
9172666644150
1056853941760
1122125627a30
12b02832a800
135490a26c75
142a74b0a760
15172b45c590
hexd3cc24e00

56853941760 has 960 divisors, whose sum is σ = 249416893440. Its totient is φ = 11625431040.

The previous prime is 56853941743. The next prime is 56853941797. The reversal of 56853941760 is 6714935865.

56853941760 is a `hidden beast` number, since 5 + 6 + 8 + 539 + 41 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 56853941697 and 56853941706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129507621 + ... + 129508059.

It is an arithmetic number, because the mean of its divisors is an integer number (259809264).

Almost surely, 256853941760 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 56853941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124708446720).

56853941760 is an abundant number, since it is smaller than the sum of its proper divisors (192562951680).

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

56853941760 is a wasteful number, since it uses less digits than its factorization.

56853941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 56853941760 in words is "fifty-six billion, eight hundred fifty-three million, nine hundred forty-one thousand, seven hundred sixty".