Search a number
-
+
11132327104 = 264331113007
BaseRepresentation
bin10100101111000100…
…11101010011000000
31001201211102210220021
422113202131103000
5140244333431404
65040352223224
7542604135103
oct122742352300
931654383807
1011132327104
1147a29aa138
1221a823ab14
131085479402
147786b873a
154524cc454
hex29789d4c0

11132327104 has 56 divisors (see below), whose sum is σ = 22678875648. Its totient is φ = 5418819840.

The previous prime is 11132327099. The next prime is 11132327111. The reversal of 11132327104 is 40172323111.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849369 + ... + 862375.

Almost surely, 211132327104 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 11132327104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339437824).

11132327104 is an abundant number, since it is smaller than the sum of its proper divisors (11546548544).

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

11132327104 is a wasteful number, since it uses less digits than its factorization.

11132327104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13373 (or 13363 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 11132327104 in words is "eleven billion, one hundred thirty-two million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 172 311 344 622 688 1244 1376 2488 2752 4976 9952 13007 13373 19904 26014 26746 52028 53492 104056 106984 208112 213968 416224 427936 559301 832448 855872 1118602 2237204 4045177 4474408 8090354 8948816 16180708 17897632 32361416 35795264 64722832 129445664 173942611 258891328 347885222 695770444 1391540888 2783081776 5566163552 11132327104