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12679407744 = 27359559649
BaseRepresentation
bin10111100111100000…
…00110100010000000
31012201122112122120020
423303300012202000
5201431412021434
65454055413440
7626131121223
oct136360064200
935648478506
1012679407744
115417216783
12255a384280
131270b44043
14883d555ba
154e3226849
hex2f3c06880

12679407744 has 64 divisors (see below), whose sum is σ = 34250580000. Its totient is φ = 4154826752.

The previous prime is 12679407739. The next prime is 12679407749. The reversal of 12679407744 is 44770497621.

It is an interprime number because it is at equal distance from previous prime (12679407739) and next prime (12679407749).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12679407749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257169 + ... + 302480.

Almost surely, 212679407744 is an apocalyptic number.

It is an amenable number.

12679407744 is an abundant number, since it is smaller than the sum of its proper divisors (21571172256).

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

12679407744 is an equidigital number, since it uses as much as digits as its factorization.

12679407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559725 (or 559713 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 12679407744 in words is "twelve billion, six hundred seventy-nine million, four hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2832 3776 5664 7552 11328 22656 559649 1119298 1678947 2238596 3357894 4477192 6715788 8954384 13431576 17908768 26863152 33019291 35817536 53726304 66038582 71635072 99057873 107452608 132077164 198115746 214905216 264154328 396231492 528308656 792462984 1056617312 1584925968 2113234624 3169851936 4226469248 6339703872 12679407744