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12465834768 = 2433231254613
BaseRepresentation
bin10111001110000010…
…11000101100010000
31012011202200000112000
423213001120230100
5201012223203033
65420550034000
7620625563412
oct134701305420
935152600460
1012465834768
115317703192
1224ba948900
131238816aba
1486383c9b2
154ce5daa13
hex2e7058b10

12465834768 has 80 divisors (see below), whose sum is σ = 37337312640. Its totient is φ = 3974610816.

The previous prime is 12465834721. The next prime is 12465834893. The reversal of 12465834768 is 86743856421.

It is a happy number.

12465834768 is a `hidden beast` number, since 1 + 2 + 465 + 83 + 47 + 68 = 666.

It is a super-2 number, since 2×124658347682 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617371 + ... + 637242.

It is an arithmetic number, because the mean of its divisors is an integer number (466716408).

Almost surely, 212465834768 is an apocalyptic number.

12465834768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12465834768 is an abundant number, since it is smaller than the sum of its proper divisors (24871477872).

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

12465834768 is a wasteful number, since it uses less digits than its factorization.

12465834768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254653 (or 1254641 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 12465834768 in words is "twelve billion, four hundred sixty-five million, eight hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 1254613 2509226 3763839 5018452 7527678 10036904 11291517 15055356 20073808 22583034 28856099 30110712 33874551 45166068 57712198 60221424 67749102 86568297 90332136 115424396 135498204 173136594 180664272 230848792 259704891 270996408 346273188 461697584 519409782 541992816 692546376 779114673 1038819564 1385092752 1558229346 2077639128 3116458692 4155278256 6232917384 12465834768