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117886648320 = 215375747
BaseRepresentation
bin110110111001010010…
…1111000000000000000
3102021021201112020000000
41231302211320000000
53412412440221240
6130053440000000
711342224656150
oct1556245700000
9367251466000
10117886648320
1145aa4a37791
121aa20000000
13b16940320c
1459c47c2760
1530ee6a2430
hex1b72978000

117886648320 has 1024 divisors, whose sum is σ = 495255859200. Its totient is φ = 26372210688.

The previous prime is 117886648309. The next prime is 117886648337. The reversal of 117886648320 is 23846688711.

117886648320 is a `hidden beast` number, since 1 + 1 + 7 + 88 + 66 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

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, 2508226537 + ... + 2508226583.

It is an arithmetic number, because the mean of its divisors is an integer number (483648300).

Almost surely, 2117886648320 is an apocalyptic number.

117886648320 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 117886648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247627929600).

117886648320 is an abundant number, since it is smaller than the sum of its proper divisors (377369210880).

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

117886648320 is an frugal number, since it uses more digits than its factorization.

117886648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 117886648320 in words is "one hundred seventeen billion, eight hundred eighty-six million, six hundred forty-eight thousand, three hundred twenty".