Search a number
-
+
117650086848 = 2635717151421
BaseRepresentation
bin110110110010001111…
…1011101101111000000
3102020200020101122200000
41231210133131233000
53411421410234343
6130014145400000
711333323144440
oct1554437355700
9366606348600
10117650086848
1145993452638
121a974939000
13b12c3b7508
1459a1204120
1530d8a24ed3
hex1b647ddbc0

117650086848 has 672 divisors, whose sum is σ = 426995831808. Its totient is φ = 31352832000.

The previous prime is 117650086819. The next prime is 117650086877. The reversal of 117650086848 is 848680056711.

It is a happy number.

117650086848 is a `hidden beast` number, since 1 + 1 + 76 + 500 + 8 + 68 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (117650086819) and next prime (117650086877).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 117650086794 and 117650086803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279453678 + ... + 279454098.

It is an arithmetic number, because the mean of its divisors is an integer number (635410464).

Almost surely, 2117650086848 is an apocalyptic number.

117650086848 is a gapful number since it is divisible by the number (18) 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 117650086848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213497915904).

117650086848 is an abundant number, since it is smaller than the sum of its proper divisors (309345744960).

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

117650086848 is a wasteful number, since it uses less digits than its factorization.

117650086848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 117650086848 in words is "one hundred seventeen billion, six hundred fifty million, eighty-six thousand, eight hundred forty-eight".