Search a number
-
+
12580132768 = 257402113967
BaseRepresentation
bin10111011011101010…
…11001011110100000
31012110201201221220021
423231311121132200
5201231003222033
65440151523224
7623514235630
oct135565313640
935421657807
1012580132768
11537617aa45
122531089514
1312563c5558
14874ab26c0
154d9666b2d
hex2edd597a0

12580132768 has 48 divisors (see below), whose sum is σ = 28314365184. Its totient is φ = 5389758720.

The previous prime is 12580132757. The next prime is 12580132771. The reversal of 12580132768 is 86723108521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 893721 + ... + 907687.

It is an arithmetic number, because the mean of its divisors is an integer number (589882608).

Almost surely, 212580132768 is an apocalyptic number.

It is an amenable number.

12580132768 is an abundant number, since it is smaller than the sum of its proper divisors (15734232416).

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

12580132768 is a wasteful number, since it uses less digits than its factorization.

12580132768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18005 (or 17997 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 12580132768 in words is "twelve billion, five hundred eighty million, one hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4021 8042 13967 16084 27934 28147 32168 55868 56294 64336 97769 111736 112588 128672 195538 223472 225176 391076 446944 450352 782152 900704 1564304 3128608 56161307 112322614 224645228 393129149 449290456 786258298 898580912 1572516596 1797161824 3145033192 6290066384 12580132768