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136161465761664 = 273572327190181
BaseRepresentation
bin11110111101011010001111…
…110011000111111110000000
3122212002220112122212101200000
4132331122033303013332000
5120321332140213333124
61201331414104400000
740452225024433530
oct3675321763077600
9585086478771600
10136161465761664
113a426831778212
1213331007476000
135ac8c81746995
14258a3704114c0
1510b1d13a036c9
hex7bd68fcc7f80

136161465761664 has 384 divisors, whose sum is σ = 484568197102080. Its totient is φ = 37211827783680.

The previous prime is 136161465761663. The next prime is 136161465761669. The reversal of 136161465761664 is 466167564161631.

136161465761664 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 6 + 1 + 4 + 6 + 5 + 7 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136161465761663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8587347 + ... + 18602834.

It is an arithmetic number, because the mean of its divisors is an integer number (1261896346620).

Almost surely, 2136161465761664 is an apocalyptic number.

136161465761664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136161465761664 is an abundant number, since it is smaller than the sum of its proper divisors (348406731340416).

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

136161465761664 is an equidigital number, since it uses as much as digits as its factorization.

136161465761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27190240 (or 27190216 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 136161465761664 in words is "one hundred thirty-six trillion, one hundred sixty-one billion, four hundred sixty-five million, seven hundred sixty-one thousand, six hundred sixty-four".