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12421507266 = 2327172437933
BaseRepresentation
bin10111001000110000…
…10010100011000010
31012001200020221121200
423210120102203002
5200414401213031
65412324002030
7616550032620
oct134430224302
935050227550
1012421507266
1152a4687293
1224a7b30316
13122c5965cc
1485b9c0510
154ca7818e6
hex2e46128c2

12421507266 has 144 divisors (see below), whose sum is σ = 33437811264. Its totient is φ = 3262146048.

The previous prime is 12421507253. The next prime is 12421507289. The reversal of 12421507266 is 66270512421.

It is a happy number.

12421507266 is a `hidden beast` number, since 1 + 242 + 150 + 7 + 266 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12421507266.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1561836 + ... + 1569768.

Almost surely, 212421507266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421507266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718905632).

12421507266 is an abundant number, since it is smaller than the sum of its proper divisors (21016303998).

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

12421507266 is a wasteful number, since it uses less digits than its factorization.

12421507266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12421507266 in words is "twelve billion, four hundred twenty-one million, five hundred seven thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 43 51 63 86 102 119 126 129 153 238 258 289 301 306 357 387 578 602 714 731 774 867 903 1071 1462 1734 1806 2023 2142 2193 2601 2709 4046 4386 5117 5202 5418 6069 6579 7933 10234 12138 12427 13158 15351 15866 18207 23799 24854 30702 36414 37281 46053 47598 55531 71397 74562 86989 92106 111062 111843 134861 142794 166593 173978 223686 260967 269722 333186 341119 404583 499779 521934 682238 782901 809166 944027 999558 1023357 1213749 1565802 1888054 2046714 2292637 2387833 2427498 2832081 3070071 4585274 4775666 5664162 5799023 6140142 6877911 7163499 8496243 11598046 13755822 14326998 16048459 16992486 17397069 20633733 21490497 32096918 34794138 40593161 41267466 42980994 48145377 52191207 81186322 96290754 98583391 104382414 121779483 144436131 197166782 243558966 288872262 295750173 365338449 591500346 690083737 730676898 887250519 1380167474 1774501038 2070251211 4140502422 6210753633 12421507266