Search a number
-
+
52920096768 = 211357111381
BaseRepresentation
bin110001010010010010…
…001001100000000000
312001121002111110100000
4301102102021200000
51331340021044033
640151113200000
73552260254260
oct612222114000
9161532443300
1052920096768
1120497018a70
12a30aa00000
134cb4a28c36
1427c04977a0
15159ae03a13
hexc52489800

52920096768 has 576 divisors, whose sum is σ = 197758229760. Its totient is φ = 13735526400.

The previous prime is 52920096737. The next prime is 52920096791. The reversal of 52920096768 is 86769002925.

52920096768 is a `hidden beast` number, since 529 + 20 + 0 + 96 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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, 38319438 + ... + 38320818.

It is an arithmetic number, because the mean of its divisors is an integer number (343330260).

Almost surely, 252920096768 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 52920096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98879114880).

52920096768 is an abundant number, since it is smaller than the sum of its proper divisors (144838132992).

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

52920096768 is a wasteful number, since it uses less digits than its factorization.

52920096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 52920096768 in words is "fifty-two billion, nine hundred twenty million, ninety-six thousand, seven hundred sixty-eight".