Search a number
-
+
15713298900 = 2232521321759103
BaseRepresentation
bin11101010001001010…
…11110100111010100
31111120002100021211100
432220211132213110
5224140101031100
611115114310100
71064250560025
oct165045364724
944502307740
1015713298900
116733825042
123066428330
131635563700
14a90c60c4c
1561e762400
hex3a895e9d4

15713298900 has 648 divisors, whose sum is σ = 57984413760. Its totient is φ = 3543920640.

The previous prime is 15713298857. The next prime is 15713298911. The reversal of 15713298900 is 989231751.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 152556249 + ... + 152556351.

It is an arithmetic number, because the mean of its divisors is an integer number (89482120).

Almost surely, 215713298900 is an apocalyptic number.

15713298900 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 15713298900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28992206880).

15713298900 is an abundant number, since it is smaller than the sum of its proper divisors (42271114860).

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

15713298900 is a wasteful number, since it uses less digits than its factorization.

15713298900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 15713298900 in words is "fifteen billion, seven hundred thirteen million, two hundred ninety-eight thousand, nine hundred".