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117937706832 = 243411219231721
BaseRepresentation
bin110110111010110100…
…0101001011101010000
3102021102021121021010000
41231311220221131100
53413014023104312
6130102502210000
711343414652611
oct1556550513520
9367367537100
10117937706832
1146020840800
121aa35123900
13b176b6c35a
1459cb4b3c08
153103ddaadc
hex1b75a29750

117937706832 has 600 divisors, whose sum is σ = 412356732480. Its totient is φ = 32366822400.

The previous prime is 117937706819. The next prime is 117937706837. The reversal of 117937706832 is 238607739711.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117937706837) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 68527732 + ... + 68529452.

Almost surely, 2117937706832 is an apocalyptic number.

117937706832 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 117937706832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206178366240).

117937706832 is an abundant number, since it is smaller than the sum of its proper divisors (294419025648).

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

117937706832 is a wasteful number, since it uses less digits than its factorization.

117937706832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 117937706832 in words is "one hundred seventeen billion, nine hundred thirty-seven million, seven hundred six thousand, eight hundred thirty-two".