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12978898256304 = 24321723687223829
BaseRepresentation
bin1011110011011110001010…
…0111101100000110110000
31200221202210201211212210200
42330313202213230012300
53200121240423200204
643334231252555200
72506460124626631
oct274674247540660
950852721755720
1012978898256304
1141543577853a2
121557492922b00
13731b9bc6c246
1432c2796a9888
15177926d3d539
hexbcde29ec1b0

12978898256304 has 120 divisors (see below), whose sum is σ = 38461324880160. Its totient is φ = 4071621126144.

The previous prime is 12978898256281. The next prime is 12978898256339. The reversal of 12978898256304 is 40365289887921.

12978898256304 is a `hidden beast` number, since 1 + 297 + 8 + 8 + 9 + 8 + 25 + 6 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57873862 + ... + 58097690.

It is an arithmetic number, because the mean of its divisors is an integer number (320511040668).

It is a 1-persistent number, because it is pandigital, but 2⋅12978898256304 = 25957796512608 is not.

Almost surely, 212978898256304 is an apocalyptic number.

It is an amenable number.

12978898256304 is an abundant number, since it is smaller than the sum of its proper divisors (25482426623856).

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

12978898256304 is a wasteful number, since it uses less digits than its factorization.

12978898256304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247547 (or 247538 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 12978898256304 in words is "twelve trillion, nine hundred seventy-eight billion, eight hundred ninety-eight million, two hundred fifty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 23687 47374 71061 94748 142122 189496 213183 223829 284244 378992 402679 426366 447658 568488 671487 805358 852732 895316 1136976 1208037 1342974 1610716 1705464 1790632 2014461 2416074 2685948 3221432 3410928 3581264 3624111 3805093 4028922 4832148 5371896 6442864 7248222 7610186 8057844 9664296 10743792 11415279 14496444 15220372 16115688 19328592 22830558 28992888 30440744 32231376 34245837 45661116 57985776 60881488 68491674 91322232 136983348 182644464 273966696 547933392 5301837523 10603675046 15905512569 21207350092 31811025138 42414700184 47716537707 63622050276 84829400368 90131237891 95433075414 127244100552 180262475782 190866150828 254488201104 270393713673 360524951564 381732301656 540787427346 721049903128 763464603312 811181141019 1081574854692 1442099806256 1622362282038 2163149709384 3244724564076 4326299418768 6489449128152 12978898256304