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136698734384352 = 25327271250210007
BaseRepresentation
bin11111000101001110100111…
…100000010001010011100000
3122221000021022211120022010100
4133011032213200101103200
5120404133002000244402
61202422310455502400
740536105033404640
oct3705164740212340
9587007284508110
10136698734384352
113a613675916528
12133b9169687a00
135b37834ac56ca
1425a837b162520
1510c0cab43b71c
hex7c53a78114e0

136698734384352 has 144 divisors (see below), whose sum is σ = 445910264497152. Its totient is φ = 38912660133120.

The previous prime is 136698734384327. The next prime is 136698734384357. The reversal of 136698734384352 is 253483437896631.

136698734384352 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 98 + 73 + 4 + 38 + 435 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136698734384357) 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, 124558668 + ... + 125651339.

It is an arithmetic number, because the mean of its divisors is an integer number (3096599059008).

Almost surely, 2136698734384352 is an apocalyptic number.

136698734384352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136698734384352 is an abundant number, since it is smaller than the sum of its proper divisors (309211530112800).

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

136698734384352 is a wasteful number, since it uses less digits than its factorization.

136698734384352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250210301 (or 250210290 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 72.

The spelling of 136698734384352 in words is "one hundred thirty-six trillion, six hundred ninety-eight billion, seven hundred thirty-four million, three hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 271 288 336 504 542 672 813 1008 1084 1626 1897 2016 2168 2439 3252 3794 4336 4878 5691 6504 7588 8672 9756 11382 13008 15176 17073 19512 22764 26016 30352 34146 39024 45528 60704 68292 78048 91056 136584 182112 273168 546336 250210007 500420014 750630021 1000840028 1501260042 1751470049 2001680056 2251890063 3002520084 3502940098 4003360112 4503780126 5254410147 6005040168 7005880196 8006720224 9007560252 10508820294 12010080336 14011760392 15763230441 18015120504 21017640588 24020160672 28023520784 31526460882 36030241008 42035281176 56047041568 63052921764 67806911897 72060482016 84070562352 126105843528 135613823794 168141124704 203420735691 252211687056 271227647588 406841471382 474648383279 504423374112 542455295176 610262207073 813682942764 949296766558 1084910590352 1220524414146 1423945149837 1627365885528 1898593533116 2169821180704 2441048828292 2847890299674 3254731771056 3797187066232 4271835449511 4882097656584 5695780599348 6509463542112 7594374132464 8543670899022 9764195313168 11391561198696 15188748264928 17087341798044 19528390626336 22783122397392 34174683596088 45566244794784 68349367192176 136698734384352