Search a number
-
+
117327369120 = 253513101186163
BaseRepresentation
bin110110101000101000…
…0011001001110100000
3102012211202010220011120
41231101100121032200
53410241301302440
6125522140412240
711322324116433
oct1552120311640
9365752126146
10117327369120
1145838271a75
121a8a4847080
13b0aa594290
1459703d981a
1530ba529dd0
hex1b514193a0

117327369120 has 192 divisors, whose sum is σ = 401953394304. Its totient is φ = 28594483200.

The previous prime is 117327369079. The next prime is 117327369127. The reversal of 117327369120 is 21963723711.

117327369120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (117327369127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537159 + ... + 723321.

It is an arithmetic number, because the mean of its divisors is an integer number (2093507262).

Almost surely, 2117327369120 is an apocalyptic number.

117327369120 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 117327369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200976697152).

117327369120 is an abundant number, since it is smaller than the sum of its proper divisors (284626025184).

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

117327369120 is a wasteful number, since it uses less digits than its factorization.

117327369120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186295 (or 186287 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 117327369120 in words is "one hundred seventeen billion, three hundred twenty-seven million, three hundred sixty-nine thousand, one hundred twenty".