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136064116656 = 243313173374229
BaseRepresentation
bin111111010111000001…
…1011010011110110000
3111000012112122021211000
41332232003122132300
54212124403213111
6142301302122000
712554536623516
oct1765603323660
9430175567730
10136064116656
1152782712796
1222453720300
13caa532c240
14682aa084b6
153815413c56
hex1fae0da7b0

136064116656 has 320 divisors, whose sum is σ = 446765155200. Its totient is φ = 39276969984.

The previous prime is 136064116633. The next prime is 136064116667. The reversal of 136064116656 is 656611460631.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32171950 + ... + 32176178.

It is an arithmetic number, because the mean of its divisors is an integer number (1396141110).

Almost surely, 2136064116656 is an apocalyptic number.

136064116656 is a gapful number since it is divisible by the number (16) 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 136064116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223382577600).

136064116656 is an abundant number, since it is smaller than the sum of its proper divisors (310701038544).

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

136064116656 is a wasteful number, since it uses less digits than its factorization.

136064116656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 136064116656 in words is "one hundred thirty-six billion, sixty-four million, one hundred sixteen thousand, six hundred fifty-six".