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117326964816 = 2432591792431
BaseRepresentation
bin110110101000100111…
…0110110100001010000
3102012211201101100120100
41231101032312201100
53410241200333231
6125522124012400
711322320513625
oct1552116664120
9365751340510
10117326964816
1145838016236
121a8a4691100
13b0aa482249
14597033234c
1530ba49a1e6
hex1b513b6850

117326964816 has 180 divisors, whose sum is σ = 336572832960. Its totient is φ = 38142637440.

The previous prime is 117326964773. The next prime is 117326964827. The reversal of 117326964816 is 618469623711.

117326964816 is a `hidden beast` number, since 1 + 1 + 73 + 2 + 6 + 96 + 481 + 6 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 272220121 + ... + 272220551.

It is an arithmetic number, because the mean of its divisors is an integer number (1869849072).

Almost surely, 2117326964816 is an apocalyptic number.

117326964816 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 117326964816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168286416480).

117326964816 is an abundant number, since it is smaller than the sum of its proper divisors (219245868144).

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

117326964816 is a wasteful number, since it uses less digits than its factorization.

117326964816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 674 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 117326964816 in words is "one hundred seventeen billion, three hundred twenty-six million, nine hundred sixty-four thousand, eight hundred sixteen".