Search a number
-
+
10532401568 = 251325318273
BaseRepresentation
bin10011100111100011…
…11011000110100000
31000012000120102202222
421303301323012200
5133032243322233
64501041530212
7522000636053
oct116361730640
930160512688
1010532401568
1145152a2207
12205b343968
13cbb0a86a0
1471cb50a9a
154199c6898
hex273c7b1a0

10532401568 has 24 divisors (see below), whose sum is σ = 22330717668. Its totient is φ = 4861108224.

The previous prime is 10532401531. The next prime is 10532401577. The reversal of 10532401568 is 86510423501.

10532401568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7647852304 + 2884549264 = 87452^2 + 53708^2 .

It is a super-2 number, since 2×105324015682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12658721 + ... + 12659552.

Almost surely, 210532401568 is an apocalyptic number.

It is an amenable number.

10532401568 is an abundant number, since it is smaller than the sum of its proper divisors (11798316100).

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

10532401568 is a wasteful number, since it uses less digits than its factorization.

10532401568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25318296 (or 25318288 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 10532401568 in words is "ten billion, five hundred thirty-two million, four hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 25318273 50636546 101273092 202546184 329137549 405092368 658275098 810184736 1316550196 2633100392 5266200784 10532401568