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52683772960 = 255721373297
BaseRepresentation
bin110001000100001100…
…101001010000100000
312000222121210222000101
4301010030221100200
51330344021213320
640111432032144
73543360452500
oct610414512040
9160877728011
1052683772960
1120385686435
12a263832654
134c77a94470
14279ad3ba00
1515852c1c0a
hexc44329420

52683772960 has 432 divisors, whose sum is σ = 159718688136. Its totient is φ = 16275603456.

The previous prime is 52683772943. The next prime is 52683772961. The reversal of 52683772960 is 6927738625.

It can be written as a sum of positive squares in 12 ways, for example, as 1486565136 + 51197207824 = 38556^2 + 226268^2 .

It is not an unprimeable number, because it can be changed into a prime (52683772961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 543131632 + ... + 543131728.

Almost surely, 252683772960 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 52683772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79859344068).

52683772960 is an abundant number, since it is smaller than the sum of its proper divisors (107034915176).

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

52683772960 is a wasteful number, since it uses less digits than its factorization.

52683772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 52683772960 in words is "fifty-two billion, six hundred eighty-three million, seven hundred seventy-two thousand, nine hundred sixty".