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129627979397712 = 24322693346447217
BaseRepresentation
bin11101011110010101011101…
…101010100011101001010000
3121222222022110202121120220100
4131132111131222203221100
5113442311100211211322
61135410134401212400
736206212112566515
oct3536253552435120
9558868422546810
10129627979397712
1138337a0aa80514
1212656930031100
135743b348002a3
142402055d4530c
15eebdc41e6dac
hex75e55daa3a50

129627979397712 has 60 divisors (see below), whose sum is σ = 364126921790580. Its totient is φ = 43048696986624.

The previous prime is 129627979397669. The next prime is 129627979397743. The reversal of 129627979397712 is 217793979726921.

129627979397712 is a `hidden beast` number, since 1 + 2 + 96 + 2 + 7 + 9 + 79 + 397 + 71 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4195057697856 + 125432921699856 = 2048184^2 + 11199684^2 .

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, 1673184873 + ... + 1673262344.

It is an arithmetic number, because the mean of its divisors is an integer number (6068782029843).

Almost surely, 2129627979397712 is an apocalyptic number.

129627979397712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129627979397712 is an abundant number, since it is smaller than the sum of its proper divisors (234498942392868).

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

129627979397712 is a wasteful number, since it uses less digits than its factorization.

129627979397712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346447500 (or 3346447491 counting only the distinct ones).

The product of its digits is 2268426384, while the sum is 81.

The spelling of 129627979397712 in words is "one hundred twenty-nine trillion, six hundred twenty-seven billion, nine hundred seventy-nine million, three hundred ninety-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 538 807 1076 1614 2152 2421 3228 4304 4842 6456 9684 12912 19368 38736 3346447217 6692894434 10039341651 13385788868 20078683302 26771577736 30118024953 40157366604 53543155472 60236049906 80314733208 120472099812 160629466416 240944199624 481888399248 900194301373 1800388602746 2700582904119 3600777205492 5401165808238 7201554410984 8101748712357 10802331616476 14403108821968 16203497424714 21604663232952 32406994849428 43209326465904 64813989698856 129627979397712