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21112132756932 = 223277110920535273
BaseRepresentation
bin1001100110011100011010…
…01011000110010111000100
32202202022002211110012000100
410303032031023012113010
510231400121441210212
6112522440242444100
74306205221335420
oct463161513062704
982668084405010
1021112132756932
1167aa672604978
12244b80a663630
13ba1b33896109
1452db92c1db80
15269295a7cbdc
hex13338d2c65c4

21112132756932 has 288 divisors, whose sum is σ = 62459301864960. Its totient is φ = 5888532142080.

The previous prime is 21112132756921. The next prime is 21112132756969. The reversal of 21112132756932 is 23965723121112.

21112132756932 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 21 + 32 + 7 + 569 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4003815448 + ... + 4003820720.

It is an arithmetic number, because the mean of its divisors is an integer number (216872575920).

Almost surely, 221112132756932 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 21112132756932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31229650932480).

21112132756932 is an abundant number, since it is smaller than the sum of its proper divisors (41347169108028).

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

21112132756932 is a wasteful number, since it uses less digits than its factorization.

21112132756932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7518 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 21112132756932 in words is "twenty-one trillion, one hundred twelve billion, one hundred thirty-two million, seven hundred fifty-six thousand, nine hundred thirty-two".