Search a number
-
+
117639834624 = 21033132171481
BaseRepresentation
bin110110110001111100…
…0010110110000000000
3102020122112002210021000
41231203320112300000
53411411244201444
6130013141532000
711333140044534
oct1554370266000
9366575083230
10117639834624
114598868aa24
121a971414000
13b12a237c00
14599dad5bc4
1530d7b9c469
hex1b63e16c00

117639834624 has 528 divisors, whose sum is σ = 399714251040. Its totient is φ = 34044641280.

The previous prime is 117639834623. The next prime is 117639834629. The reversal of 117639834624 is 426438936711.

117639834624 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 3 + 9 + 8 + 3 + 4 + 624 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (117639834623) 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, 79431964 + ... + 79433444.

Almost surely, 2117639834624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117639834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199857125520).

117639834624 is an abundant number, since it is smaller than the sum of its proper divisors (282074416416).

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

117639834624 is a wasteful number, since it uses less digits than its factorization.

117639834624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1516 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 117639834624 in words is "one hundred seventeen billion, six hundred thirty-nine million, eight hundred thirty-four thousand, six hundred twenty-four".