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136492836480 = 27335711132607
BaseRepresentation
bin111111100011110011…
…0110110011010000000
3111001022102100111212000
41333013212312122000
54214014131231410
6142412015104000
712601263652530
oct1770746663200
9431272314760
10136492836480
11529827142a0
1222553212000
13cb430b7c00
14686b9274c0
15383cd9bdc0
hex1fc79b6680

136492836480 has 1536 divisors, whose sum is σ = 653698252800. Its totient is φ = 26137313280.

The previous prime is 136492836479. The next prime is 136492836499. The reversal of 136492836480 is 84638294631.

136492836480 is a `hidden beast` number, since 1 + 36 + 492 + 83 + 6 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224864337 + ... + 224864943.

It is an arithmetic number, because the mean of its divisors is an integer number (425584800).

Almost surely, 2136492836480 is an apocalyptic number.

136492836480 is a gapful number since it is divisible by the number (10) 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 136492836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326849126400).

136492836480 is an abundant number, since it is smaller than the sum of its proper divisors (517205416320).

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

136492836480 is a wasteful number, since it uses less digits than its factorization.

136492836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 136492836480 in words is "one hundred thirty-six billion, four hundred ninety-two million, eight hundred thirty-six thousand, four hundred eighty".