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56653862720 = 26572131716349
BaseRepresentation
bin110100110000110101…
…010101011101000000
312102020022020102022212
4310300311111131000
51412011342101340
642005412521252
74043635613300
oct646065253500
9172208212285
1056653862720
11220326a0654
12ab91320228
13545b4429c0
142a56307600
151718ad9a65
hexd30d55740

56653862720 has 336 divisors, whose sum is σ = 178956766800. Its totient is φ = 16874274816.

The previous prime is 56653862701. The next prime is 56653862761. The reversal of 56653862720 is 2726835665.

It can be written as a sum of positive squares in 8 ways, for example, as 5113966144 + 51539896576 = 71512^2 + 227024^2 .

It is a super-2 number, since 2×566538627202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3457106 + ... + 3473454.

It is an arithmetic number, because the mean of its divisors is an integer number (532609425).

Almost surely, 256653862720 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 56653862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89478383400).

56653862720 is an abundant number, since it is smaller than the sum of its proper divisors (122302904080).

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

56653862720 is a wasteful number, since it uses less digits than its factorization.

56653862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16410 (or 16393 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 56653862720 in words is "fifty-six billion, six hundred fifty-three million, eight hundred sixty-two thousand, seven hundred twenty".