Search a number
-
+
15231084288 = 283723199619
BaseRepresentation
bin11100010111101011…
…11110011100000000
31110022110222020201220
432023311332130000
5222143124144123
610555210555040
71046304036360
oct161365763400
943273866656
1015231084288
116506606072
122b50a38a80
131589697a14
14a46bb89a0
155e225dce3
hex38bd7e700

15231084288 has 288 divisors, whose sum is σ = 48663552000. Its totient is φ = 4134924288.

The previous prime is 15231084283. The next prime is 15231084293. The reversal of 15231084288 is 88248013251.

It is an interprime number because it is at equal distance from previous prime (15231084283) and next prime (15231084293).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15231084283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24605643 + ... + 24606261.

Almost surely, 215231084288 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 15231084288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24331776000).

15231084288 is an abundant number, since it is smaller than the sum of its proper divisors (33432467712).

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

15231084288 is a wasteful number, since it uses less digits than its factorization.

15231084288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 15231084288 in words is "fifteen billion, two hundred thirty-one million, eighty-four thousand, two hundred eighty-eight".