Search a number
-
+
13242797568 = 293471121329
BaseRepresentation
bin11000101010101010…
…10000111000000000
31021011220122211010000
430111111100320000
5204110124010233
610030023040000
7646111631160
oct142525207000
937156584100
1013242797568
115686239900
122696ba0000
131330791cc0
148d8acc5a0
15527911d13
hex315550e00

13242797568 has 1200 divisors, whose sum is σ = 55316147040. Its totient is φ = 3065610240.

The previous prime is 13242797551. The next prime is 13242797569. The reversal of 13242797568 is 86579724231.

It is a happy number.

13242797568 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 2 + 79 + 7 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13242797569) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 456648178 + ... + 456648206.

Almost surely, 213242797568 is an apocalyptic number.

13242797568 is a gapful number since it is divisible by the number (18) 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 13242797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27658073520).

13242797568 is an abundant number, since it is smaller than the sum of its proper divisors (42073349472).

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

13242797568 is a wasteful number, since it uses less digits than its factorization.

13242797568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 13242797568 in words is "thirteen billion, two hundred forty-two million, seven hundred ninety-seven thousand, five hundred sixty-eight".