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52364568960 = 2734511229401
BaseRepresentation
bin110000110001001010…
…111110100110000000
312000011101011201110000
4300301022332212000
51324220312201320
640020030240000
73532433330544
oct606112764600
9160141151400
1052364568960
1120231485780
12a194956000
134c26901662
14276a7a9a24
15156726cc90
hexc312be980

52364568960 has 640 divisors, whose sum is σ = 205405437600. Its totient is φ = 12607488000.

The previous prime is 52364568859. The next prime is 52364568961. The reversal of 52364568960 is 6986546325.

52364568960 is a `hidden beast` number, since 52 + 3 + 6 + 456 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52364568897 and 52364568906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52364568961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130584760 + ... + 130585160.

Almost surely, 252364568960 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 52364568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102702718800).

52364568960 is an abundant number, since it is smaller than the sum of its proper divisors (153040868640).

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

52364568960 is a wasteful number, since it uses less digits than its factorization.

52364568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 52364568960 in words is "fifty-two billion, three hundred sixty-four million, five hundred sixty-eight thousand, nine hundred sixty".