Search a number
-
+
10532237352 = 23371331732131
BaseRepresentation
bin10011100111100010…
…10011000000101000
31000012000021002111220
421303301103000220
5133032223043402
64501034222040
7521666353230
oct116361230050
930160232456
1010532237352
11451519a89a
12205b284920
13cbb04ba10
1471cb0acc0
15419992dbc
hex273c53028

10532237352 has 256 divisors, whose sum is σ = 33926430720. Its totient is φ = 2650060800.

The previous prime is 10532237351. The next prime is 10532237363. The reversal of 10532237352 is 25373223501.

It is a happy number.

It is a super-2 number, since 2×105322373522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10532237351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4941327 + ... + 4943457.

It is an arithmetic number, because the mean of its divisors is an integer number (132525120).

Almost surely, 210532237352 is an apocalyptic number.

10532237352 is a gapful number since it is divisible by the number (12) 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 10532237352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963215360).

10532237352 is an abundant number, since it is smaller than the sum of its proper divisors (23394193368).

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

10532237352 is a wasteful number, since it uses less digits than its factorization.

10532237352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The spelling of 10532237352 in words is "ten billion, five hundred thirty-two million, two hundred thirty-seven thousand, three hundred fifty-two".