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12430843776 = 273213830051
BaseRepresentation
bin10111001001110111…
…11001111110000000
31012002022211021220100
423210323321332000
5200424244000101
65413300042400
7620022300021
oct134473717600
935068737810
1012430843776
1152a9983a0a
1224ab093400
1312314b5180
1485cd30c48
154cb4c7e86
hex2e4ef9f80

12430843776 has 96 divisors (see below), whose sum is σ = 38522713320. Its totient is φ = 3824870400.

The previous prime is 12430843759. The next prime is 12430843883. The reversal of 12430843776 is 67734803421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400050 + ... + 430001.

Almost surely, 212430843776 is an apocalyptic number.

12430843776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12430843776 is an abundant number, since it is smaller than the sum of its proper divisors (26091869544).

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

12430843776 is a wasteful number, since it uses less digits than its factorization.

12430843776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830084 (or 830069 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 12430843776 in words is "twelve billion, four hundred thirty million, eight hundred forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 830051 1660102 2490153 3320204 4980306 6640408 7470459 9960612 10790663 13280816 14940918 19921224 21581326 26561632 29881836 32371989 39842448 43162652 53123264 59763672 64743978 79684896 86325304 97115967 106246528 119527344 129487956 159369792 172650608 194231934 239054688 258975912 318739584 345301216 388463868 478109376 517951824 690602432 776927736 956218752 1035903648 1381204864 1553855472 2071807296 3107710944 4143614592 6215421888 12430843776