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134412374592 = 263521140961
BaseRepresentation
bin111110100101110011…
…0100001001001000000
3110211221102121002200000
41331023212201021000
54200234031441332
6141425335400000
712465602222136
oct1751346411100
9424842532600
10134412374592
1152005310501
1222072523000
13c8a107b182
1467114c5756
15376a3e3b7c
hex1f4b9a1240

134412374592 has 168 divisors, whose sum is σ = 401441363232. Its totient is φ = 44590694400.

The previous prime is 134412374563. The next prime is 134412374599. The reversal of 134412374592 is 295473214431.

134412374592 is a `hidden beast` number, since 1 + 3 + 44 + 12 + 3 + 7 + 4 + 592 = 666.

It is not an unprimeable number, because it can be changed into a prime (134412374599) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3260992 + ... + 3301952.

It is an arithmetic number, because the mean of its divisors is an integer number (2389531924).

Almost surely, 2134412374592 is an apocalyptic number.

134412374592 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 134412374592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200720681616).

134412374592 is an abundant number, since it is smaller than the sum of its proper divisors (267028988640).

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

134412374592 is an equidigital number, since it uses as much as digits as its factorization.

134412374592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41199 (or 41177 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 134412374592 in words is "one hundred thirty-four billion, four hundred twelve million, three hundred seventy-four thousand, five hundred ninety-two".