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117931208832 = 27321929475967
BaseRepresentation
bin110110111010100111…
…1110111000010000000
3102021101211101010112100
41231311033313002000
53413010342140312
6130102111030400
711343305510163
oct1556517670200
9367354333470
10117931208832
1146018102758
121aa32b0b400
13b175705798
1459ca6a1ada
1531035555dc
hex1b753f7080

117931208832 has 768 divisors, whose sum is σ = 389525760000. Its totient is φ = 34079367168.

The previous prime is 117931208797. The next prime is 117931208881. The reversal of 117931208832 is 238802139711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1760167263 + ... + 1760167329.

It is an arithmetic number, because the mean of its divisors is an integer number (507195000).

Almost surely, 2117931208832 is an apocalyptic number.

117931208832 is a gapful number since it is divisible by the number (12) 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 117931208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194762880000).

117931208832 is an abundant number, since it is smaller than the sum of its proper divisors (271594551168).

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

117931208832 is a wasteful number, since it uses less digits than its factorization.

117931208832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 117931208832 in words is "one hundred seventeen billion, nine hundred thirty-one million, two hundred eight thousand, eight hundred thirty-two".