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18740427264 = 293213312841
BaseRepresentation
bin10001011101000001…
…000011101000000000
31210101001102100021200
4101131001003220000
5301340022133024
612335332221200
71232256001116
oct213501035000
953331370250
1018740427264
117a47534419
12377016a800
1319c8755b20
14c9acc9ab6
1574a3b42c9
hex45d043a00

18740427264 has 120 divisors (see below), whose sum is σ = 58246800612. Its totient is φ = 5766266880.

The previous prime is 18740427247. The next prime is 18740427337. The reversal of 18740427264 is 46272404781.

18740427264 is a `hidden beast` number, since 187 + 40 + 427 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12996000000 + 5744427264 = 114000^2 + 75792^2 .

It is a super-2 number, since 2×187404272642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96517 + ... + 216324.

Almost surely, 218740427264 is an apocalyptic number.

It is an amenable number.

18740427264 is an abundant number, since it is smaller than the sum of its proper divisors (39506373348).

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

18740427264 is a wasteful number, since it uses less digits than its factorization.

18740427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312878 (or 312859 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 18740427264 in words is "eighteen billion, seven hundred forty million, four hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 312841 625682 938523 1251364 1877046 2502728 2815569 3754092 4066933 5005456 5631138 7508184 8133866 10010912 11262276 12200799 15016368 16267732 20021824 22524552 24401598 30032736 32535464 36602397 40043648 45049104 48803196 60065472 65070928 73204794 80087296 90098208 97606392 120130944 130141856 146409588 160174592 180196416 195212784 240261888 260283712 292819176 360392832 390425568 480523776 520567424 585638352 720785664 780851136 1041134848 1171276704 1441571328 1561702272 2082269696 2342553408 3123404544 4685106816 6246809088 9370213632 18740427264