Search a number
-
+
117613616640 = 293513290617
BaseRepresentation
bin110110110001001010…
…0010101111000000000
3102020120200202202221120
41231202110111320000
53411333041213030
6130010403552240
711332401150342
oct1554224257000
9366520682846
10117613616640
1145974902a73
121a96468b680
13b124988500
14599a42d292
1530d571e010
hex1b62515e00

117613616640 has 240 divisors, whose sum is σ = 407148123888. Its totient is φ = 28950724608.

The previous prime is 117613616621. The next prime is 117613616651. The reversal of 117613616640 is 46616316711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 117613616592 and 117613616601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252612 + ... + 1343228.

Almost surely, 2117613616640 is an apocalyptic number.

117613616640 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 117613616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203574061944).

117613616640 is an abundant number, since it is smaller than the sum of its proper divisors (289534507248).

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

117613616640 is an equidigital number, since it uses as much as digits as its factorization.

117613616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90669 (or 90640 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 117613616640 in words is "one hundred seventeen billion, six hundred thirteen million, six hundred sixteen thousand, six hundred forty".