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12816103956732 = 2233311945178423
BaseRepresentation
bin1011101001111111101101…
…0100101110000011111100
31200101012121022122121102000
42322133323110232003330
53134434340103103412
643131345322102300
72461635001126506
oct272377324560374
950335538577360
1012816103956732
1140a130862864a
12152ba1b34a990
1371c726b1cc2b
14324434a16d76
15173599de04dc
hexba7fb52e0fc

12816103956732 has 96 divisors (see below), whose sum is σ = 33248894515200. Its totient is φ = 4269212594496.

The previous prime is 12816103956727. The next prime is 12816103956757. The reversal of 12816103956732 is 23765930161821.

It is a happy number.

12816103956732 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 6 + 10 + 39 + 567 + 32 = 666.

It is a super-2 number, since 2×128161039567322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1521556273 + ... + 1521564695.

It is an arithmetic number, because the mean of its divisors is an integer number (346342651200).

Almost surely, 212816103956732 is an apocalyptic number.

12816103956732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12816103956732 is an abundant number, since it is smaller than the sum of its proper divisors (20432790558468).

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

12816103956732 is a wasteful number, since it uses less digits than its factorization.

12816103956732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16072 (or 16064 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12816103956732 in words is "twelve trillion, eight hundred sixteen billion, one hundred three million, nine hundred fifty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3119 4517 6238 8423 9034 9357 12476 13551 16846 18068 18714 25269 27102 28071 33692 37428 40653 50538 54204 56142 75807 81306 84213 101076 112284 121959 151614 162612 168426 227421 243918 303228 336852 454842 487836 909684 14088523 26271337 28177046 38046691 42265569 52542674 56354092 76093382 78814011 84531138 105085348 114140073 126796707 152186764 157628022 169062276 228280146 236442033 253593414 315256044 342420219 380390121 456560292 472884066 507186828 684840438 709326099 760780242 945768132 1027260657 1369680876 1418652198 1521560484 2054521314 2837304396 4109042628 118667629229 237335258458 356002887687 474670516916 712005775374 1068008663061 1424011550748 2136017326122 3204025989183 4272034652244 6408051978366 12816103956732