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136553571972 = 22323793154777
BaseRepresentation
bin111111100101100111…
…0100010011010000100
3111001110122122012021200
41333023032202122010
54214130203300342
6142422024542500
712602632132116
oct1771316423204
9431418565250
10136553571972
1152a03a27814
122256b621a30
13cb5286187c
146875a173b6
15384339794c
hex1fcb3a2684

136553571972 has 18 divisors (see below), whose sum is σ = 345177084798. Its totient is φ = 45517857312.

The previous prime is 136553571971. The next prime is 136553571989. The reversal of 136553571972 is 279175355631.

136553571972 is a `hidden beast` number, since 1 + 3 + 6 + 553 + 5 + 7 + 19 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97209262656 + 39344309316 = 311784^2 + 198354^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (136553571971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1896577353 + ... + 1896577424.

It is an arithmetic number, because the mean of its divisors is an integer number (19176504711).

Almost surely, 2136553571972 is an apocalyptic number.

136553571972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136553571972 is an abundant number, since it is smaller than the sum of its proper divisors (208623512826).

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

136553571972 is a wasteful number, since it uses less digits than its factorization.

136553571972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793154787 (or 3793154782 counting only the distinct ones).

The product of its digits is 5953500, while the sum is 54.

The spelling of 136553571972 in words is "one hundred thirty-six billion, five hundred fifty-three million, five hundred seventy-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 3793154777 7586309554 11379464331 15172619108 22758928662 34138392993 45517857324 68276785986 136553571972