Search a number
-
+
13874495160 = 2335233125231
BaseRepresentation
bin11001110101111101…
…11111111010111000
31022210221022101022010
430322332333322320
5211403332321120
610212430325520
71000552156131
oct147276777270
938727271263
1013874495160
11597a877629
1228326598a0
131401608466
14958966c88
155630e17e0
hex33afbfeb8

13874495160 has 192 divisors, whose sum is σ = 44888048640. Its totient is φ = 3424185600.

The previous prime is 13874495113. The next prime is 13874495213. The reversal of 13874495160 is 6159447831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2649745 + ... + 2654975.

It is an arithmetic number, because the mean of its divisors is an integer number (233791920).

Almost surely, 213874495160 is an apocalyptic number.

13874495160 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 13874495160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22444024320).

13874495160 is an abundant number, since it is smaller than the sum of its proper divisors (31013553480).

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

13874495160 is a wasteful number, since it uses less digits than its factorization.

13874495160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 13874495160 in words is "thirteen billion, eight hundred seventy-four million, four hundred ninety-five thousand, one hundred sixty".