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117892494720 = 2732572111323127
BaseRepresentation
bin110110111001011110…
…0001011010110000000
3102021022010112020202100
41231302330023112000
53412420434312340
6130054205150400
711342325446100
oct1556274132600
9367263466670
10117892494720
1145aa8270220
121aa21b5b400
13b16a69c320
1459c54a5200
1530eee59830
hex1b72f0b580

117892494720 has 2304 divisors, whose sum is σ = 585113518080. Its totient is φ = 21459271680.

The previous prime is 117892494703. The next prime is 117892494751. The reversal of 117892494720 is 27494298711.

117892494720 is a `hidden beast` number, since 1 + 1 + 7 + 89 + 2 + 494 + 72 + 0 = 666.

It is a super-2 number, since 2×1178924947202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 928287297 + ... + 928287423.

It is an arithmetic number, because the mean of its divisors is an integer number (253955520).

Almost surely, 2117892494720 is an apocalyptic number.

117892494720 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 117892494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292556759040).

117892494720 is an abundant number, since it is smaller than the sum of its proper divisors (467221023360).

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

117892494720 is a wasteful number, since it uses less digits than its factorization.

117892494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 117892494720 in words is "one hundred seventeen billion, eight hundred ninety-two million, four hundred ninety-four thousand, seven hundred twenty".