Search a number
-
+
117915199584 = 253713192367461
BaseRepresentation
bin110110111010001001…
…0110010100001100000
3102021100201020202222020
41231310102302201200
53412442242341314
6130100335541440
711343022442040
oct1556422624140
9367321222866
10117915199584
114600a068776
121aa2968a880
13b1722bb960
1459c84d5720
153101e41da9
hex1b744b2860

117915199584 has 768 divisors, whose sum is σ = 425608888320. Its totient is φ = 27699978240.

The previous prime is 117915199573. The next prime is 117915199637. The reversal of 117915199584 is 485991519711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255781114 + ... + 255781574.

It is an arithmetic number, because the mean of its divisors is an integer number (554178240).

Almost surely, 2117915199584 is an apocalyptic number.

117915199584 is a gapful number since it is divisible by the number (14) 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 117915199584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212804444160).

117915199584 is an abundant number, since it is smaller than the sum of its proper divisors (307693688736).

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

117915199584 is a wasteful number, since it uses less digits than its factorization.

117915199584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 60.

The spelling of 117915199584 in words is "one hundred seventeen billion, nine hundred fifteen million, one hundred ninety-nine thousand, five hundred eighty-four".