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12610669968 = 24321319354551
BaseRepresentation
bin10111011111010011…
…11000110110010000
31012112212012102001200
423233221320312100
5201311312414333
65443202231200
7624334632441
oct135751706620
935485172050
1012610669968
115391437aa6
12253b355500
13125c827bc0
14878b812c8
154dc199c13
hex2efa78d90

12610669968 has 120 divisors (see below), whose sum is σ = 40007647680. Its totient is φ = 3675974400.

The previous prime is 12610669961. The next prime is 12610669991. The reversal of 12610669968 is 86996601621.

It is a happy number.

12610669968 is a `hidden beast` number, since 12 + 610 + 6 + 6 + 9 + 9 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12610669961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 141708 + ... + 212843.

It is an arithmetic number, because the mean of its divisors is an integer number (333397064).

Almost surely, 212610669968 is an apocalyptic number.

12610669968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12610669968 is an abundant number, since it is smaller than the sum of its proper divisors (27396977712).

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

12610669968 is a wasteful number, since it uses less digits than its factorization.

12610669968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354597 (or 354588 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 12610669968 in words is "twelve billion, six hundred ten million, six hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1368 1482 1872 1976 2223 2736 2964 3952 4446 5928 8892 11856 17784 35568 354551 709102 1063653 1418204 2127306 2836408 3190959 4254612 4609163 5672816 6381918 6736469 8509224 9218326 12763836 13472938 13827489 17018448 18436652 20209407 25527672 26945876 27654978 36873304 40418814 41482467 51055344 53891752 55309956 60628221 73746608 80837628 82964934 87574097 107783504 110619912 121256442 161675256 165929868 175148194 221239824 242512884 262722291 323350512 331859736 350296388 485025768 525444582 663719472 700592776 788166873 970051536 1050889164 1401185552 1576333746 2101778328 3152667492 4203556656 6305334984 12610669968