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52323125760 = 293255961631
BaseRepresentation
bin110000101110101100…
…111000101000000000
312000001111012012001200
4300232230320220000
51324124210011020
640011550101200
73531421142103
oct605654705000
9160044165050
1052323125760
11202100498a4
12a182aaa800
134c1b150c59
14276509c73a
1515637d3590
hexc2eb38a00

52323125760 has 480 divisors, whose sum is σ = 187598885760. Its totient is φ = 13470105600.

The previous prime is 52323125741. The next prime is 52323125791. The reversal of 52323125760 is 6752132325.

52323125760 is a `hidden beast` number, since 5 + 232 + 312 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 82920645 + ... + 82921275.

It is an arithmetic number, because the mean of its divisors is an integer number (390831012).

Almost surely, 252323125760 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 52323125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93799442880).

52323125760 is an abundant number, since it is smaller than the sum of its proper divisors (135275760000).

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

52323125760 is a wasteful number, since it uses less digits than its factorization.

52323125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 52323125760 in words is "fifty-two billion, three hundred twenty-three million, one hundred twenty-five thousand, seven hundred sixty".