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56764237824 = 211327795569
BaseRepresentation
bin110100110111011010…
…011000100000000000
312102111222221001111200
4310313122120200000
51412223121102244
642024354341200
74046446026510
oct646732304000
9172458831450
1056764237824
1122089a29048
12b00228a800
135478279a08
142a66c39840
15172363d669
hexd37698800

56764237824 has 288 divisors, whose sum is σ = 189772128000. Its totient is φ = 16010182656.

The previous prime is 56764237823. The next prime is 56764237861. The reversal of 56764237824 is 42873246765.

56764237824 is a `hidden beast` number, since 567 + 6 + 4 + 2 + 3 + 78 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (56764237823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10190112 + ... + 10195680.

It is an arithmetic number, because the mean of its divisors is an integer number (658931000).

Almost surely, 256764237824 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 56764237824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94886064000).

56764237824 is an abundant number, since it is smaller than the sum of its proper divisors (133007890176).

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

56764237824 is a wasteful number, since it uses less digits than its factorization.

56764237824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5660 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 56764237824 in words is "fifty-six billion, seven hundred sixty-four million, two hundred thirty-seven thousand, eight hundred twenty-four".