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117010037760 = 210357111941127
BaseRepresentation
bin110110011111001010…
…1110111110000000000
3102012000122000210101020
41230332111313300000
53404114032202020
6125430443105440
711311421624220
oct1547625676000
9365018023336
10117010037760
1145695130250
121a816512280
13b059908945
1459401d4080
15309c745c40
hex1b3e577c00

117010037760 has 1408 divisors, whose sum is σ = 507095285760. Its totient is φ = 22295347200.

The previous prime is 117010037743. The next prime is 117010037797. The reversal of 117010037760 is 67730010711.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 921338817 + ... + 921338943.

Almost surely, 2117010037760 is an apocalyptic number.

117010037760 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 117010037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253547642880).

117010037760 is an abundant number, since it is smaller than the sum of its proper divisors (390085248000).

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

117010037760 is a wasteful number, since it uses less digits than its factorization.

117010037760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The spelling of 117010037760 in words is "one hundred seventeen billion, ten million, thirty-seven thousand, seven hundred sixty".