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136448808048 = 2432732995261
BaseRepresentation
bin111111100010011111…
…0111001010001110000
3111001012100111122012100
41333010332321101300
54213421343324143
6142403403300400
712600220506000
oct1770476712160
9431170448170
10136448808048
115295a882063
122254051a700
13cb36c40897
146865b46000
1538390a16d3
hex1fc4fb9470

136448808048 has 240 divisors, whose sum is σ = 460687032000. Its totient is φ = 37640655360.

The previous prime is 136448807993. The next prime is 136448808059. The reversal of 136448808048 is 840808844631.

136448808048 is a `hidden beast` number, since 1 + 3 + 6 + 448 + 80 + 80 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 136448807985 and 136448808003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384738 + ... + 1479998.

It is an arithmetic number, because the mean of its divisors is an integer number (1919529300).

Almost surely, 2136448808048 is an apocalyptic number.

136448808048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136448808048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230343516000).

136448808048 is an abundant number, since it is smaller than the sum of its proper divisors (324238223952).

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

136448808048 is a wasteful number, since it uses less digits than its factorization.

136448808048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95325 (or 95302 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 136448808048 in words is "one hundred thirty-six billion, four hundred forty-eight million, eight hundred eight thousand, forty-eight".