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12856129728 = 263135150693
BaseRepresentation
bin10111111100100100…
…01111100011000000
31020011222002001112220
423332102033203000
5202312132122403
65523411251040
7633405204531
oct137622174300
936158061486
1012856129728
1154a7a4a602
1225a95a9a80
13129b63ab70
1489d5d8688
155039d3953
hex2fe48f8c0

12856129728 has 56 divisors (see below), whose sum is σ = 36631735728. Its totient is φ = 3955731456.

The previous prime is 12856129717. The next prime is 12856129729. The reversal of 12856129728 is 82792165821.

12856129728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12856129729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2572851 + ... + 2577842.

It is an arithmetic number, because the mean of its divisors is an integer number (654138138).

Almost surely, 212856129728 is an apocalyptic number.

It is an amenable number.

12856129728 is an abundant number, since it is smaller than the sum of its proper divisors (23775606000).

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

12856129728 is a wasteful number, since it uses less digits than its factorization.

12856129728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150721 (or 5150711 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The spelling of 12856129728 in words is "twelve billion, eight hundred fifty-six million, one hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 5150693 10301386 15452079 20602772 30904158 41205544 61808316 66959009 82411088 123616632 133918018 164822176 200877027 247233264 267836036 329644352 401754054 494466528 535672072 803508108 988933056 1071344144 1607016216 2142688288 3214032432 4285376576 6428064864 12856129728