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117917222064720 = 2435132934737310069
BaseRepresentation
bin11010110011111010111110…
…001000100101001001010000
3120110111202221221122101011120
4122303322332020211021100
5110423423432322032340
61054442231325242240
733560144454634611
oct3263727610451120
9513452857571146
10117917222064720
113463245a83a471
1211285193103380
1350a471438a710
14211931c925c08
15d9746e37c4d0
hex6b3ebe225250

117917222064720 has 640 divisors, whose sum is σ = 409545862387200. Its totient is φ = 27866440433664.

The previous prime is 117917222064713. The next prime is 117917222064727. The reversal of 117917222064720 is 27460222719711.

It is an interprime number because it is at equal distance from previous prime (117917222064713) and next prime (117917222064727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117917222064727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11710911846 + ... + 11710921914.

It is an arithmetic number, because the mean of its divisors is an integer number (639915409980).

Almost surely, 2117917222064720 is an apocalyptic number.

117917222064720 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 117917222064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204772931193600).

117917222064720 is an abundant number, since it is smaller than the sum of its proper divisors (291628640322480).

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

117917222064720 is a wasteful number, since it uses less digits than its factorization.

117917222064720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 117917222064720 in words is "one hundred seventeen trillion, nine hundred seventeen billion, two hundred twenty-two million, sixty-four thousand, seven hundred twenty".