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12734633376 = 253423213611
BaseRepresentation
bin10111101110000101…
…10001010110100000
31012212111110101220000
423313002301112200
5202040031232001
65503351220000
7630401412003
oct136702612640
935774411800
1012734633376
1154454065a3
122574977600
13127c40bb2a
1488b40d53a
154e7ed4a86
hex2f70b15a0

12734633376 has 120 divisors (see below), whose sum is σ = 39080742624. Its totient is φ = 4060298880.

The previous prime is 12734633371. The next prime is 12734633383. The reversal of 12734633376 is 67333643721.

12734633376 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 4 + 633 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×127346333762 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12734633371) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47190 + ... + 166421.

Almost surely, 212734633376 is an apocalyptic number.

12734633376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12734633376 is an abundant number, since it is smaller than the sum of its proper divisors (26346109248).

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

12734633376 is a wasteful number, since it uses less digits than its factorization.

12734633376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213656 (or 213639 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The spelling of 12734633376 in words is "twelve billion, seven hundred thirty-four million, six hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 59616 213611 427222 640833 854444 1281666 1708888 1922499 2563332 3417776 3844998 4913053 5126664 5767497 6835552 7689996 9826106 10253328 11534994 14739159 15379992 17302491 19652212 20506656 23069988 29478318 30759984 34604982 39304424 44217477 46139976 58956636 61519968 69209964 78608848 88434954 92279952 117913272 132652431 138419928 157217696 176869908 184559904 235826544 265304862 276839856 353739816 397957293 471653088 530609724 553679712 707479632 795914586 1061219448 1414959264 1591829172 2122438896 3183658344 4244877792 6367316688 12734633376