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136265848992 = 25347131721999
BaseRepresentation
bin111111011101000010…
…0111101100010100000
3111000201121020100120000
41332322010331202200
54213033024131432
6142333310020000
712562536414450
oct1767204754240
9430647210500
10136265848992
1152876579229
12224ab1a7600
13cb08071ba0
14684971bd60
153827eb157c
hex1fba13d8a0

136265848992 has 720 divisors, whose sum is σ = 524218464000. Its totient is φ = 33807310848.

The previous prime is 136265848987. The next prime is 136265848993. The reversal of 136265848992 is 299848562631.

136265848992 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 65 + 8 + 489 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (136265848993) 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 119 ways as a sum of consecutive naturals, for example, 68166009 + ... + 68168007.

It is an arithmetic number, because the mean of its divisors is an integer number (728081200).

Almost surely, 2136265848992 is an apocalyptic number.

136265848992 is a gapful number since it is divisible by the number (12) 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 136265848992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262109232000).

136265848992 is an abundant number, since it is smaller than the sum of its proper divisors (387952615008).

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

136265848992 is a wasteful number, since it uses less digits than its factorization.

136265848992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2041 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 136265848992 in words is "one hundred thirty-six billion, two hundred sixty-five million, eight hundred forty-eight thousand, nine hundred ninety-two".