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12281396688 = 2433112584469
BaseRepresentation
bin10110111000000011…
…10011110111010000
31011200220121121001000
423130001303313100
5200123014143223
65350400542000
7613226102151
oct133401636720
934626547030
1012281396688
11523258a120
122469021900
13120954ab42
1484714b928
154bd307543
hex2dc073dd0

12281396688 has 80 divisors (see below), whose sum is σ = 38456913600. Its totient is φ = 3721633920.

The previous prime is 12281396651. The next prime is 12281396693. The reversal of 12281396688 is 88669318221.

12281396688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287483 + ... + 1296986.

It is an arithmetic number, because the mean of its divisors is an integer number (480711420).

Almost surely, 212281396688 is an apocalyptic number.

12281396688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12281396688 is an abundant number, since it is smaller than the sum of its proper divisors (26175516912).

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

12281396688 is a wasteful number, since it uses less digits than its factorization.

12281396688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584497 (or 2584485 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 12281396688 in words is "twelve billion, two hundred eighty-one million, three hundred ninety-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 2584469 5168938 7753407 10337876 15506814 20675752 23260221 28429159 31013628 41351504 46520442 56858318 62027256 69780663 85287477 93040884 113716636 124054512 139561326 170574954 186081768 227433272 255862431 279122652 341149908 372163536 454866544 511724862 558245304 682299816 767587293 1023449724 1116490608 1364599632 1535174586 2046899448 3070349172 4093798896 6140698344 12281396688