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12646438272 = 273213844447
BaseRepresentation
bin10111100011100100…
…10101010110000000
31012122100111121221200
423301302111112000
5201344442011042
65450521021200
7625250644266
oct136162252600
935570447850
1012646438272
1153aa648286
12254b324800
13126706c590
1487d812436
154e03b2c4c
hex2f1c95580

12646438272 has 96 divisors (see below), whose sum is σ = 39190831680. Its totient is φ = 3891207168.

The previous prime is 12646438237. The next prime is 12646438309. The reversal of 12646438272 is 27283464621.

It is a happy number.

12646438272 is a `hidden beast` number, since 1 + 264 + 6 + 4 + 382 + 7 + 2 = 666.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407248 + ... + 437199.

It is an arithmetic number, because the mean of its divisors is an integer number (408237830).

Almost surely, 212646438272 is an apocalyptic number.

12646438272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12646438272 is an abundant number, since it is smaller than the sum of its proper divisors (26544393408).

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

12646438272 is a wasteful number, since it uses less digits than its factorization.

12646438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844480 (or 844465 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 12646438272 in words is "twelve billion, six hundred forty-six million, four hundred thirty-eight thousand, two hundred seventy-two".

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 844447 1688894 2533341 3377788 5066682 6755576 7600023 10133364 10977811 13511152 15200046 20266728 21955622 27022304 30400092 32933433 40533456 43911244 54044608 60800184 65866866 81066912 87822488 98800299 108089216 121600368 131733732 162133824 175644976 197600598 243200736 263467464 324267648 351289952 395201196 486401472 526934928 702579904 790402392 972802944 1053869856 1405159808 1580804784 2107739712 3161609568 4215479424 6323219136 12646438272