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12226849965 = 38511311093
BaseRepresentation
bin10110110001100011…
…01110110010101101
31011120002222100000000
423120301232302231
5200020033144330
65341131454513
7611664336621
oct133061566255
934502870000
1012226849965
115204813390
1224528b7439
1311cb160085
1483dbcd181
154b8630560
hex2d8c6ecad

12226849965 has 144 divisors (see below), whose sum is σ = 24804988416. Its totient is φ = 5731689600.

The previous prime is 12226849963. The next prime is 12226849969. The reversal of 12226849965 is 56994862221.

12226849965 is a `hidden beast` number, since 12 + 22 + 68 + 499 + 65 = 666.

It is not a de Polignac number, because 12226849965 - 21 = 12226849963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12226849963) 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 143 ways as a sum of consecutive naturals, for example, 11185959 + ... + 11187051.

It is an arithmetic number, because the mean of its divisors is an integer number (172256864).

Almost surely, 212226849965 is an apocalyptic number.

12226849965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12226849965 is an abundant number, since it is smaller than the sum of its proper divisors (12578138451).

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

12226849965 is an equidigital number, since it uses as much as digits as its factorization.

12226849965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1143 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 12226849965 in words is "twelve billion, two hundred twenty-six million, eight hundred forty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 81 93 99 135 155 165 243 279 297 341 405 465 495 729 837 891 1023 1093 1215 1395 1485 1705 2187 2511 2673 3069 3279 3645 4185 4455 5115 5465 6561 7533 8019 9207 9837 10935 12023 12555 13365 15345 16395 22599 24057 27621 29511 32805 33883 36069 37665 40095 46035 49185 60115 67797 72171 82863 88533 101649 108207 112995 120285 138105 147555 169415 180345 203391 248589 265599 304947 324621 338985 360855 372713 414315 442665 508245 541035 745767 796797 914841 973863 1016955 1118139 1242945 1327995 1524735 1623105 1863565 2237301 2390391 2744523 2921589 3354417 3728835 3983985 4574205 4869315 5590695 7171173 8233569 8764767 10063251 11186505 11951955 13722615 14607945 16772085 24700707 26294301 30189753 35855865 41167845 43823835 50316255 74102121 78882903 90569259 123503535 131471505 150948765 222306363 271707777 370510605 394414515 452846295 815123331 1111531815 1358538885 2445369993 4075616655 12226849965