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117955770240 = 27357111746933
BaseRepresentation
bin110110111011010110…
…1100011011110000000
3102021110112120222110010
41231312231203132000
53413033134121430
6130104345304520
711344024334610
oct1556655433600
9367415528403
10117955770240
114602aa59040
121aa3b195140
13b17a825169
1459cda56a40
1531057a7cb0
hex1b76b63780

117955770240 has 512 divisors, whose sum is σ = 496343946240. Its totient is φ = 23068016640.

The previous prime is 117955770239. The next prime is 117955770277. The reversal of 117955770240 is 42077559711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 117955770240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2489814 + ... + 2536746.

It is an arithmetic number, because the mean of its divisors is an integer number (969421770).

Almost surely, 2117955770240 is an apocalyptic number.

117955770240 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 117955770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248171973120).

117955770240 is an abundant number, since it is smaller than the sum of its proper divisors (378388176000).

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

117955770240 is a wasteful number, since it uses less digits than its factorization.

117955770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46990 (or 46978 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 48.

The spelling of 117955770240 in words is "one hundred seventeen billion, nine hundred fifty-five million, seven hundred seventy thousand, two hundred forty".