Search a number
-
+
117712894464 = 2933113124971
BaseRepresentation
bin110110110100000111…
…1000011101000000000
3102020211121120121112000
41231220033003220000
53412034000110324
6130024311504000
711335015044144
oct1555017035000
9366747517460
10117712894464
1145a15950960
121a991988000
13b13c408399
1459a96b3224
1530de2ce9c9
hex1b683c3a00

117712894464 has 320 divisors, whose sum is σ = 392392028160. Its totient is φ = 34518528000.

The previous prime is 117712894457. The next prime is 117712894471. The reversal of 117712894464 is 464498217711.

117712894464 is a `hidden beast` number, since 1 + 1 + 7 + 71 + 28 + 94 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (117712894457) and next prime (117712894471).

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

It is a self number, because there is not a number n which added to its sum of digits gives 117712894464.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4701499 + ... + 4726469.

It is an arithmetic number, because the mean of its divisors is an integer number (1226225088).

Almost surely, 2117712894464 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 117712894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196196014080).

117712894464 is an abundant number, since it is smaller than the sum of its proper divisors (274679133696).

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

117712894464 is a wasteful number, since it uses less digits than its factorization.

117712894464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25040 (or 25018 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 117712894464 in words is "one hundred seventeen billion, seven hundred twelve million, eight hundred ninety-four thousand, four hundred sixty-four".