Search a number
-
+
11266452032 = 261159926717
BaseRepresentation
bin10100111111000100…
…00110101001000000
31002002011211001201012
422133202012221000
5141033202431112
65101543100052
7546123155633
oct123742065100
932064731635
1011266452032
114861689190
122225141628
1310a71aa584
1478c42dc1a
1545e173022
hex29f886a40

11266452032 has 56 divisors (see below), whose sum is σ = 24430939200. Its totient is φ = 5112373760.

The previous prime is 11266452031. The next prime is 11266452049. The reversal of 11266452032 is 23025466211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11266452032.

It is not an unprimeable number, because it can be changed into a prime (11266452031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408338 + ... + 435054.

Almost surely, 211266452032 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 11266452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12215469600).

11266452032 is an abundant number, since it is smaller than the sum of its proper divisors (13164487168).

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

11266452032 is a wasteful number, since it uses less digits than its factorization.

11266452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27339 (or 27329 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 11266452032 in words is "eleven billion, two hundred sixty-six million, four hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 599 704 1198 2396 4792 6589 9584 13178 19168 26356 26717 38336 52712 53434 105424 106868 210848 213736 293887 421696 427472 587774 854944 1175548 1709888 2351096 4702192 9404384 16003483 18808768 32006966 64013932 128027864 176038313 256055728 352076626 512111456 704153252 1024222912 1408306504 2816613008 5633226016 11266452032