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6160830812136 = 23347211137318587
BaseRepresentation
bin101100110100110111000…
…1000011100111111101000
3210210222011220002022220000
41121221232020130333220
51301414340141442021
621034125133303000
71204051062601200
oct131515610347750
923728156068800
106160830812136
111a65880421010
12836015934a60
13358c6b77a120
14174285bad400
15aa3cd836b26
hex59a6e21cfe8

6160830812136 has 960 divisors, whose sum is σ = 23907003785280. Its totient is φ = 1456809338880.

The previous prime is 6160830812093. The next prime is 6160830812137. The reversal of 6160830812136 is 6312180380616.

6160830812136 is a `hidden beast` number, since 6 + 1 + 608 + 3 + 0 + 8 + 1 + 2 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6160830812091 and 6160830812100.

It is not an unprimeable number, because it can be changed into a prime (6160830812137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 331449835 + ... + 331468421.

It is an arithmetic number, because the mean of its divisors is an integer number (24903128943).

Almost surely, 26160830812136 is an apocalyptic number.

6160830812136 is a gapful number since it is divisible by the number (66) 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 6160830812136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11953501892640).

6160830812136 is an abundant number, since it is smaller than the sum of its proper divisors (17746172973144).

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

6160830812136 is a wasteful number, since it uses less digits than its factorization.

6160830812136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18716 (or 18696 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 6160830812136 in words is "six trillion, one hundred sixty billion, eight hundred thirty million, eight hundred twelve thousand, one hundred thirty-six".