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12348975984 = 24317314311353
BaseRepresentation
bin10111000000000111…
…00110101101110000
31011212121202222101220
423200003212231300
5200242314212414
65401213225040
7615006364302
oct134003465560
934777688356
1012348975984
115267747484
122487792180
13121a54c8a7
148520dd972
154c4205ca9
hex2e00e6b70

12348975984 has 160 divisors (see below), whose sum is σ = 35681716224. Its totient is φ = 3661701120.

The previous prime is 12348975979. The next prime is 12348975997. The reversal of 12348975984 is 48957984321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082052 + ... + 1093404.

Almost surely, 212348975984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12348975984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17840858112).

12348975984 is an abundant number, since it is smaller than the sum of its proper divisors (23332740240).

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

12348975984 is a wasteful number, since it uses less digits than its factorization.

12348975984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11455 (or 11449 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 12348975984 in words is "twelve billion, three hundred forty-eight million, nine hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 43 48 51 62 68 86 93 102 124 129 136 172 186 204 248 258 272 344 372 408 496 516 527 688 731 744 816 1032 1054 1333 1462 1488 1581 2064 2108 2193 2666 2924 3162 3999 4216 4386 5332 5848 6324 7998 8432 8772 10664 11353 11696 12648 15996 17544 21328 22661 22706 25296 31992 34059 35088 45322 45412 63984 67983 68118 90644 90824 135966 136236 181288 181648 193001 271932 272472 351943 362576 386002 488179 543864 544944 579003 703886 772004 976358 1055829 1087728 1158006 1407772 1464537 1544008 1952716 2111658 2316012 2815544 2929074 3088016 3905432 4223316 4632024 5631088 5858148 5983031 7810864 8299043 8446632 9264048 11716296 11966062 15133549 16598086 16893264 17949093 23432592 23932124 24897129 30267098 33196172 35898186 45400647 47864248 49794258 60534196 66392344 71796372 90801294 95728496 99588516 121068392 132784688 143592744 181602588 199177032 242136784 257270333 287185488 363205176 398354064 514540666 726410352 771810999 1029081332 1543621998 2058162664 3087243996 4116325328 6174487992 12348975984