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13318374912 = 29359281523
BaseRepresentation
bin11000110011101011…
…00100011000000000
31021101011212112201220
430121311210120000
5204234000444122
610041322555040
7651020214243
oct143165443000
937334775656
1013318374912
11571496a217
1226b8368a80
13134333431b
14904b6325a
1552e39025c
hex319d64600

13318374912 has 160 divisors (see below), whose sum is σ = 36279999360. Its totient is φ = 4340367360.

The previous prime is 13318374877. The next prime is 13318374941. The reversal of 13318374912 is 21947381331.

It is a super-2 number, since 2×133183749122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25465083 + ... + 25465605.

It is an arithmetic number, because the mean of its divisors is an integer number (226749996).

Almost surely, 213318374912 is an apocalyptic number.

13318374912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13318374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139999680).

13318374912 is an abundant number, since it is smaller than the sum of its proper divisors (22961624448).

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

13318374912 is an equidigital number, since it uses as much as digits as its factorization.

13318374912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 868 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The spelling of 13318374912 in words is "thirteen billion, three hundred eighteen million, three hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 281 354 384 472 512 523 562 708 768 843 944 1046 1124 1416 1536 1569 1686 1888 2092 2248 2832 3138 3372 3776 4184 4496 5664 6276 6744 7552 8368 8992 11328 12552 13488 15104 16579 16736 17984 22656 25104 26976 30208 30857 33158 33472 35968 45312 49737 50208 53952 61714 66316 66944 71936 90624 92571 99474 100416 107904 123428 132632 133888 143872 146963 185142 198948 200832 215808 246856 265264 267776 293926 370284 397896 401664 431616 440889 493712 530528 587852 740568 795792 803328 881778 987424 1061056 1175704 1481136 1591584 1763556 1974848 2122112 2351408 2962272 3183168 3527112 3949696 4244224 4702816 5924544 6366336 7054224 7899392 8488448 8670817 9405632 11849088 12732672 14108448 15798784 17341634 18811264 23698176 25465344 26012451 28216896 34683268 37622528 47396352 52024902 56433792 69366536 75245056 104049804 112867584 138733072 208099608 225735168 277466144 416199216 554932288 832398432 1109864576 1664796864 2219729152 3329593728 4439458304 6659187456 13318374912