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12937402095840 = 2532512317298381
BaseRepresentation
bin1011110001000011100101…
…0000011001100011100000
31200210210200210111111222200
42330100321100121203200
53143431244414031330
643303205510133200
72503460612242155
oct274207120314340
950723623444880
1012937402095840
1141387a3229902
12154b431951200
1372acb7c40241
1432a26051822c
151767e8d19a60
hexbc4394198e0

12937402095840 has 144 divisors (see below), whose sum is σ = 44184754950336. Its totient is φ = 3447170841600.

The previous prime is 12937402095799. The next prime is 12937402095841. The reversal of 12937402095840 is 4859020473921.

12937402095840 is a `hidden beast` number, since 1 + 2 + 9 + 37 + 4 + 0 + 20 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12937402095841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1876551 + ... + 5421830.

It is an arithmetic number, because the mean of its divisors is an integer number (306838576044).

Almost surely, 212937402095840 is an apocalyptic number.

12937402095840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12937402095840 is an abundant number, since it is smaller than the sum of its proper divisors (31247352854496).

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

12937402095840 is a wasteful number, since it uses less digits than its factorization.

12937402095840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7299633 (or 7299622 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12937402095840 in words is "twelve trillion, nine hundred thirty-seven billion, four hundred two million, ninety-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1231 1440 2462 3693 4924 6155 7386 9848 11079 12310 14772 18465 19696 22158 24620 29544 36930 39392 44316 49240 55395 59088 73860 88632 98480 110790 118176 147720 177264 196960 221580 295440 354528 443160 590880 886320 1772640 7298381 14596762 21895143 29193524 36491905 43790286 58387048 65685429 72983810 87580572 109475715 116774096 131370858 145967620 175161144 218951430 233548192 262741716 291935240 328427145 350322288 437902860 525483432 583870480 656854290 700644576 875805720 1050966864 1167740960 1313708580 1751611440 2101933728 2627417160 3503222880 5254834320 8984307011 10509668640 17968614022 26952921033 35937228044 44921535055 53905842066 71874456088 80858763099 89843070110 107811684132 134764605165 143748912176 161717526198 179686140220 215623368264 269529210330 287497824352 323435052396 359372280440 404293815495 431246736528 539058420660 646870104792 718744560880 808587630990 862493473056 1078116841320 1293740209584 1437489121760 1617175261980 2156233682640 2587480419168 3234350523960 4312467365280 6468701047920 12937402095840