Search a number
-
+
117498940848 = 2435591034973
BaseRepresentation
bin110110101101101111…
…0111000110110110000
3102020021200222122100000
41231123132320312300
53411114212101343
6125551150030000
711326506342522
oct1553336706660
9366250878300
10117498940848
11459160a8393
121a9321a8300
13b106ca6b03
1459890dba12
1530ca61aed3
hex1b5b7b8db0

117498940848 has 240 divisors, whose sum is σ = 350230083840. Its totient is φ = 38121000192.

The previous prime is 117498940847. The next prime is 117498940873. The reversal of 117498940848 is 848049894711.

117498940848 is a `hidden beast` number, since 1 + 17 + 498 + 94 + 0 + 8 + 48 = 666.

It is a super-2 number, since 2×1174989408482 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117498940847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23624890 + ... + 23629862.

It is an arithmetic number, because the mean of its divisors is an integer number (1459292016).

Almost surely, 2117498940848 is an apocalyptic number.

117498940848 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 117498940848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175115041920).

117498940848 is an abundant number, since it is smaller than the sum of its proper divisors (232731142992).

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

117498940848 is a wasteful number, since it uses less digits than its factorization.

117498940848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 117498940848 in words is "one hundred seventeen billion, four hundred ninety-eight million, nine hundred forty thousand, eight hundred forty-eight".