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12332693755944 = 2332920031861759
BaseRepresentation
bin1011001101110110110111…
…0101001001100000101000
31121122222211122002000101100
42303131231311021200220
53104024324100142234
642121321123521400
72412002435202522
oct263355565114050
947588748060340
1012332693755944
113a252a2126911
1214721aa229260
136b5c779c1bc3
14308c96c14a12
15165c05958399
hexb376dd49828

12332693755944 has 48 divisors (see below), whose sum is σ = 33401426572800. Its totient is φ = 4110851028384.

The previous prime is 12332693755927. The next prime is 12332693755961. The reversal of 12332693755944 is 44955739623321.

It is a happy number.

12332693755944 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 2 + 6 + 9 + 37 + 5 + 594 + 4 = 666.

12332693755944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12332693755927) and next prime (12332693755961).

It is a super-2 number, since 2×123326937559442 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5693337 + ... + 7555095.

It is an arithmetic number, because the mean of its divisors is an integer number (695863053600).

Almost surely, 212332693755944 is an apocalyptic number.

It is an amenable number.

12332693755944 is an abundant number, since it is smaller than the sum of its proper divisors (21068732816856).

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

12332693755944 is a wasteful number, since it uses less digits than its factorization.

12332693755944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953774 (or 1953767 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 12332693755944 in words is "twelve trillion, three hundred thirty-two billion, six hundred ninety-three million, seven hundred fifty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 92003 184006 276009 368012 552018 736024 828027 1104036 1656054 1861759 2208072 3312108 3723518 5585277 6624216 7447036 11170554 14894072 16755831 22341108 33511662 44682216 67023324 134046648 171287413277 342574826554 513862239831 685149653108 1027724479662 1370299306216 1541586719493 2055448959324 3083173438986 4110897918648 6166346877972 12332693755944