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117896940720 = 243351317312257
BaseRepresentation
bin110110111001100110…
…1001000110010110000
3102021022102220010112000
41231303031020302300
53412423104100340
6130054444334000
711342411314146
oct1556315106260
9367272803460
10117896940720
1145aaa8275a9
121aa23544300
13b16b597bb0
1459c5d01596
153100536d30
hex1b73348cb0

117896940720 has 960 divisors, whose sum is σ = 480333006720. Its totient is φ = 26329743360.

The previous prime is 117896940719. The next prime is 117896940773. The reversal of 117896940720 is 27049698711.

117896940720 is a `hidden beast` number, since 1 + 178 + 9 + 69 + 407 + 2 + 0 = 666.

It is a super-2 number, since 2×1178969407202 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 458742832 + ... + 458743088.

It is an arithmetic number, because the mean of its divisors is an integer number (500346882).

Almost surely, 2117896940720 is an apocalyptic number.

117896940720 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 117896940720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240166503360).

117896940720 is an abundant number, since it is smaller than the sum of its proper divisors (362436066000).

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

117896940720 is a wasteful number, since it uses less digits than its factorization.

117896940720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 117896940720 in words is "one hundred seventeen billion, eight hundred ninety-six million, nine hundred forty thousand, seven hundred twenty".