Search a number
-
+
12511306512 = 243286884073
BaseRepresentation
bin10111010011011101…
…10110001100010000
31012021221020020000200
423221232312030100
5201110343302022
65425252415200
7622020231165
oct135156661420
935257206020
1012511306512
115340340841
122512017500
131245078063
148698b806c
154d35bdbac
hex2e9bb6310

12511306512 has 30 divisors (see below), whose sum is σ = 35014281822. Its totient is φ = 4170435456.

The previous prime is 12511306487. The next prime is 12511306541. The reversal of 12511306512 is 21560311521.

12511306512 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 1 + 3 + 0 + 651 + 2 = 666.

12511306512 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 only one way, i.e., 8575500816 + 3935805696 = 92604^2 + 62736^2 .

It is a super-2 number, since 2×125113065122 (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 5 ways as a sum of consecutive naturals, for example, 43441893 + ... + 43442180.

Almost surely, 212511306512 is an apocalyptic number.

12511306512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12511306512 is an abundant number, since it is smaller than the sum of its proper divisors (22502975310).

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

12511306512 is a wasteful number, since it uses less digits than its factorization.

12511306512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86884087 (or 86884078 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 12511306512 in words is "twelve billion, five hundred eleven million, three hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 86884073 173768146 260652219 347536292 521304438 695072584 781956657 1042608876 1390145168 1563913314 2085217752 3127826628 4170435504 6255653256 12511306512