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136092063744 = 21132721367173
BaseRepresentation
bin111111010111110111…
…0000001100000000000
3111000021111020011000100
41332233232001200000
54212204032014434
6142304141122400
712555326312100
oct1765756014000
9430244204010
10136092063744
115279747085a
1222460b59400
13caab065990
146830601200
153817ad4699
hex1fafb81800

136092063744 has 864 divisors, whose sum is σ = 502641462960. Its totient is φ = 35152330752.

The previous prime is 136092063719. The next prime is 136092063749. The reversal of 136092063744 is 447360290631.

136092063744 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 9 + 2 + 0 + 637 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136092063744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136092063749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 786659242 + ... + 786659414.

Almost surely, 2136092063744 is an apocalyptic number.

136092063744 is a gapful number since it is divisible by the number (14) 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 136092063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251320731480).

136092063744 is an abundant number, since it is smaller than the sum of its proper divisors (366549399216).

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

136092063744 is a wasteful number, since it uses less digits than its factorization.

136092063744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 136092063744 in words is "one hundred thirty-six billion, ninety-two million, sixty-three thousand, seven hundred forty-four".