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52713192960 = 2935584737
BaseRepresentation
bin110001000101111100…
…110111111000000000
312001001200011122200000
4301011330313320000
51330424034133320
640114402400000
73544165514211
oct610574677000
9161050148600
1052713192960
11203a025008a
12a271660000
134c80bc544c
1427a0bd9408
151587b83c90
hexc45f37e00

52713192960 has 240 divisors, whose sum is σ = 189324351216. Its totient is φ = 14056685568.

The previous prime is 52713192911. The next prime is 52713192989. The reversal of 52713192960 is 6929131725.

It is a happy number.

52713192960 is a `hidden beast` number, since 5 + 271 + 319 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579712 + ... + 664448.

Almost surely, 252713192960 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 52713192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94662175608).

52713192960 is an abundant number, since it is smaller than the sum of its proper divisors (136611158256).

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

52713192960 is an frugal number, since it uses more digits than its factorization.

52713192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84775 (or 84747 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 52713192960 in words is "fifty-two billion, seven hundred thirteen million, one hundred ninety-two thousand, nine hundred sixty".