Search a number
-
+
12200613264 = 2432712103783
BaseRepresentation
bin10110101110011011…
…01001010110010000
31011111021121101000100
423113031221112100
5144441324111024
65334353252400
7611225334030
oct132715512620
934437541010
1012200613264
1151a0a23364
122445b64100
1311c58a4cb8
1483a51d8c0
154b619b7c9
hex2d7369590

12200613264 has 60 divisors (see below), whose sum is σ = 39022599616. Its totient is φ = 3485889216.

The previous prime is 12200613163. The next prime is 12200613283. The reversal of 12200613264 is 46231600221.

12200613264 is a `hidden beast` number, since 1 + 2 + 20 + 0 + 613 + 26 + 4 = 666.

12200613264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 6050884 + ... + 6052899.

Almost surely, 212200613264 is an apocalyptic number.

12200613264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12200613264 is an abundant number, since it is smaller than the sum of its proper divisors (26821986352).

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

12200613264 is a wasteful number, since it uses less digits than its factorization.

12200613264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103804 (or 12103795 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12200613264 in words is "twelve billion, two hundred million, six hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 12103783 24207566 36311349 48415132 72622698 84726481 96830264 108934047 145245396 169452962 193660528 217868094 254179443 290490792 338905924 435736188 508358886 580981584 677811848 762538329 871472376 1016717772 1355623696 1525076658 1742944752 2033435544 3050153316 4066871088 6100306632 12200613264