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67327700015136 = 25311431147928751
BaseRepresentation
bin11110100111011111100111…
…01001001001100000100000
322211101110120011202002101010
433103233303221021200200
532311044112200441021
6355105530212340520
720116160112401031
oct1723576351114040
9284343504662333
1067327700015136
111a4a857647a040
127674686614740
132b74c89a2c502
14128a96c892a88
157bb5346bc976
hex3d3bf3a49820

67327700015136 has 96 divisors (see below), whose sum is σ = 193249387892736. Its totient is φ = 20354996000000.

The previous prime is 67327700015057. The next prime is 67327700015153. The reversal of 67327700015136 is 63151000772376.

67327700015136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73509240 + ... + 74419511.

It is an arithmetic number, because the mean of its divisors is an integer number (2013014457216).

Almost surely, 267327700015136 is an apocalyptic number.

67327700015136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

67327700015136 is an abundant number, since it is smaller than the sum of its proper divisors (125921687877600).

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

67327700015136 is a wasteful number, since it uses less digits than its factorization.

67327700015136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147929206 (or 147929198 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The spelling of 67327700015136 in words is "sixty-seven trillion, three hundred twenty-seven billion, seven hundred million, fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 431 528 862 1056 1293 1724 2586 3448 4741 5172 6896 9482 10344 13792 14223 18964 20688 28446 37928 41376 56892 75856 113784 151712 227568 455136 147928751 295857502 443786253 591715004 887572506 1183430008 1627216261 1775145012 2366860016 3254432522 3550290024 4733720032 4881648783 6508865044 7100580048 9763297566 13017730088 14201160096 19526595132 26035460176 39053190264 52070920352 63757291681 78106380528 127514583362 156212761056 191271875043 255029166724 382543750086 510058333448 701330208491 765087500172 1020116666896 1402660416982 1530175000344 2040233333792 2103990625473 2805320833964 3060350000688 4207981250946 5610641667928 6120700001376 8415962501892 11221283335856 16831925003784 22442566671712 33663850007568 67327700015136