Search a number
-
+
12087136264 = 2374713733521
BaseRepresentation
bin10110100000111001…
…10001000000001000
31011012101002010211111
423100130301000020
5144223301330024
65315221140104
7605346651220
oct132034610010
934171063744
1012087136264
115142967415
122413b5a634
1311a8223148
14829421080
154ab233a94
hex2d0731008

12087136264 has 64 divisors (see below), whose sum is σ = 26645967360. Its totient is φ = 5032826880.

The previous prime is 12087136261. The next prime is 12087136277. The reversal of 12087136264 is 46263178021.

It is not an unprimeable number, because it can be changed into a prime (12087136261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343824 + ... + 377344.

It is an arithmetic number, because the mean of its divisors is an integer number (416343240).

Almost surely, 212087136264 is an apocalyptic number.

12087136264 is a gapful number since it is divisible by the number (14) 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 12087136264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322983680).

12087136264 is an abundant number, since it is smaller than the sum of its proper divisors (14558831096).

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

12087136264 is a wasteful number, since it uses less digits than its factorization.

12087136264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33718 (or 33714 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 12087136264 in words is "twelve billion, eighty-seven million, one hundred thirty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 137 188 274 329 376 548 658 959 1096 1316 1918 2632 3836 6439 7672 12878 25756 33521 45073 51512 67042 90146 134084 180292 234647 268168 360584 469294 938588 1575487 1877176 3150974 4592377 6301948 9184754 11028409 12603896 18369508 22056818 32146639 36739016 44113636 64293278 88227272 128586556 215841719 257173112 431683438 863366876 1510892033 1726733752 3021784066 6043568132 12087136264