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136564116120 = 233251512512217
BaseRepresentation
bin111111100101111011…
…0110000101010011000
3111001111101110220010200
41333023312300222120
54214140403203440
6142423042542200
712603120556065
oct1771366605230
9431441426120
10136564116120
1152a09979793
1222573067960
13cb54ab4003
14687719dc6c
15384427bc30
hex1fcbdb0a98

136564116120 has 96 divisors (see below), whose sum is σ = 446772849120. Its totient is φ = 36175910400.

The previous prime is 136564116097. The next prime is 136564116131. The reversal of 136564116120 is 21611465631.

136564116120 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 641 + 1 + 6 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1201749 + ... + 1310468.

It is an arithmetic number, because the mean of its divisors is an integer number (4653883845).

Almost surely, 2136564116120 is an apocalyptic number.

136564116120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136564116120 is an abundant number, since it is smaller than the sum of its proper divisors (310208733000).

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

136564116120 is a wasteful number, since it uses less digits than its factorization.

136564116120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512385 (or 2512378 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 136564116120 in words is "one hundred thirty-six billion, five hundred sixty-four million, one hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 151 180 302 360 453 604 755 906 1208 1359 1510 1812 2265 2718 3020 3624 4530 5436 6040 6795 9060 10872 13590 18120 27180 54360 2512217 5024434 7536651 10048868 12561085 15073302 20097736 22609953 25122170 30146604 37683255 45219906 50244340 60293208 75366510 90439812 100488680 113049765 150733020 180879624 226099530 301466040 379344767 452199060 758689534 904398120 1138034301 1517379068 1896723835 2276068602 3034758136 3414102903 3793447670 4552137204 5690171505 6828205806 7586895340 9104274408 11380343010 13656411612 15173790680 17070514515 22760686020 27312823224 34141029030 45521372040 68282058060 136564116120