Search a number
-
+
115023508704 = 25331360716871
BaseRepresentation
bin110101100011111101…
…1110111010011100000
3101222220012000122211000
41223013323313103200
53341032004234304
6124501400552000
711211250456266
oct1530773672340
9358805018730
10115023508704
11448658545a5
121a361182600
13ab01199c70
1457d2444436
152ed3144939
hex1ac7ef74e0

115023508704 has 192 divisors, whose sum is σ = 361908449280. Its totient is φ = 35331448320.

The previous prime is 115023508687. The next prime is 115023508727. The reversal of 115023508704 is 407805320511.

115023508704 is a `hidden beast` number, since 11 + 50 + 23 + 508 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6809389 + ... + 6826259.

It is an arithmetic number, because the mean of its divisors is an integer number (1884939840).

Almost surely, 2115023508704 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 115023508704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180954224640).

115023508704 is an abundant number, since it is smaller than the sum of its proper divisors (246884940576).

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

115023508704 is a wasteful number, since it uses less digits than its factorization.

115023508704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17510 (or 17496 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 115023508704 in words is "one hundred fifteen billion, twenty-three million, five hundred eight thousand, seven hundred four".