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52965384192 = 2133672181
BaseRepresentation
bin110001010100111110…
…111010000000000000
312001201020201022000000
4301110332322000000
51331433114243232
640155412000000
73553350223500
oct612476720000
9161636638000
1052965384192
112050a640096
12a322000000
134cc1224326
1427c64c5a00
15159ed9c27c
hexc54fba000

52965384192 has 588 divisors, whose sum is σ = 185763265506. Its totient is φ = 15049359360.

The previous prime is 52965384187. The next prime is 52965384209. The reversal of 52965384192 is 29148356925.

52965384192 is a `hidden beast` number, since 5 + 2 + 96 + 538 + 4 + 19 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52819070976 + 146313216 = 229824^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (588).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 292626342 + ... + 292626522.

Almost surely, 252965384192 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 52965384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92881632753).

52965384192 is an abundant number, since it is smaller than the sum of its proper divisors (132797881314).

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

52965384192 is an frugal number, since it uses more digits than its factorization.

52965384192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 193 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 52965384192 in words is "fifty-two billion, nine hundred sixty-five million, three hundred eighty-four thousand, one hundred ninety-two".