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132768167113386 = 23371193294416209
BaseRepresentation
bin11110001100000001111111…
…011100000011001010101010
3122102002111211211210200121000
4132030001333130003022222
5114400233201240112021
61150212504242055430
736652116644015130
oct3614017734031252
9572074754720530
10132768167113386
1139338733092952
1212a8343a64a576
135910ca4a67c2c
1424b0029371750
151053910d8bb26
hex78c07f7032aa

132768167113386 has 64 divisors (see below), whose sum is σ = 337471636550400. Its totient is φ = 37901964953088.

The previous prime is 132768167113369. The next prime is 132768167113427. The reversal of 132768167113386 is 683311761867231.

132768167113386 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 6 + 81 + 67 + 113 + 386 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 146757151 + ... + 147659058.

It is an arithmetic number, because the mean of its divisors is an integer number (5272994321100).

Almost surely, 2132768167113386 is an apocalyptic number.

132768167113386 is an abundant number, since it is smaller than the sum of its proper divisors (204703469437014).

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

132768167113386 is a wasteful number, since it uses less digits than its factorization.

132768167113386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294417420 (or 294417414 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 132768167113386 in words is "one hundred thirty-two trillion, seven hundred sixty-eight billion, one hundred sixty-seven million, one hundred thirteen thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1193 2386 3579 7158 8351 10737 16702 21474 25053 32211 50106 64422 75159 150318 225477 450954 294416209 588832418 883248627 1766497254 2060913463 2649745881 4121826926 5299491762 6182740389 7949237643 12365480778 15898475286 18548221167 37096442334 55644663501 111289327002 351238537337 702477074674 1053715612011 2107431224022 2458669761359 3161146836033 4917339522718 6322293672066 7376009284077 9483440508099 14752018568154 18966881016198 22128027852231 44256055704462 66384083556693 132768167113386