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12957319392 = 253612212657
BaseRepresentation
bin11000001000101000…
…10000000011100000
31020110000111000200020
430010110100003200
5203014033210032
65541424153440
7636044253243
oct140424200340
936400430606
1012957319392
11554a083926
122617468880
1312b65a9cc4
148acc1925a
1550c820b2c
hex3045100e0

12957319392 has 48 divisors (see below), whose sum is σ = 34570568592. Its totient is φ = 4248299520.

The previous prime is 12957319367. The next prime is 12957319411. The reversal of 12957319392 is 29391375921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1100473 + ... + 1112184.

It is an arithmetic number, because the mean of its divisors is an integer number (720220179).

Almost surely, 212957319392 is an apocalyptic number.

12957319392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12957319392 is an abundant number, since it is smaller than the sum of its proper divisors (21613249200).

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

12957319392 is a wasteful number, since it uses less digits than its factorization.

12957319392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212731 (or 2212723 counting only the distinct ones).

The product of its digits is 918540, while the sum is 51.

The spelling of 12957319392 in words is "twelve billion, nine hundred fifty-seven million, three hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 2212657 4425314 6637971 8850628 13275942 17701256 26551884 35402512 53103768 70805024 106207536 134972077 212415072 269944154 404916231 539888308 809832462 1079776616 1619664924 2159553232 3239329848 4319106464 6478659696 12957319392