Search a number
-
+
117357269904 = 2435719317321
BaseRepresentation
bin110110101001100001…
…0011101001110010000
3102012220211102000100000
41231103002131032100
53410321430114104
6125525125330000
711323136222640
oct1552302351620
9365824360300
10117357269904
1145853134966
121a8b2866900
13b0b3833054
145974380520
1530bce84639
hex1b5309d390

117357269904 has 480 divisors, whose sum is σ = 423021813760. Its totient is φ = 30736972800.

The previous prime is 117357269893. The next prime is 117357269927. The reversal of 117357269904 is 409962753711.

117357269904 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 572 + 69 + 9 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16026564 + ... + 16033884.

Almost surely, 2117357269904 is an apocalyptic number.

117357269904 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 117357269904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211510906880).

117357269904 is an abundant number, since it is smaller than the sum of its proper divisors (305664543856).

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

117357269904 is a wasteful number, since it uses less digits than its factorization.

117357269904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 117357269904 in words is "one hundred seventeen billion, three hundred fifty-seven million, two hundred sixty-nine thousand, nine hundred four".