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117936246960 = 24325759613647
BaseRepresentation
bin110110111010110001…
…1000101000010110000
3102021102011212002112200
41231311203011002300
53413013134400320
6130102411023200
711343366362460
oct1556543050260
9367364762480
10117936246960
114601aa339a4
121aa3473ab00
13b17677aa1c
1459cb213ba0
153103bed290
hex1b758c50b0

117936246960 has 480 divisors, whose sum is σ = 461786158080. Its totient is φ = 26415839232.

The previous prime is 117936246919. The next prime is 117936246979. The reversal of 117936246960 is 69642639711.

117936246960 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 3 + 624 + 6 + 9 + 6 + 0 = 666.

117936246960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 117936246897 and 117936246906.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 182281357 + ... + 182282003.

It is an arithmetic number, because the mean of its divisors is an integer number (962054496).

Almost surely, 2117936246960 is an apocalyptic number.

117936246960 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 117936246960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230893079040).

117936246960 is an abundant number, since it is smaller than the sum of its proper divisors (343849911120).

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

117936246960 is a wasteful number, since it uses less digits than its factorization.

117936246960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 117936246960 in words is "one hundred seventeen billion, nine hundred thirty-six million, two hundred forty-six thousand, nine hundred sixty".