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12281435466 = 2373832931153
BaseRepresentation
bin10110111000000011…
…11101010101001010
31011200220200120020020
423130001331111022
5200123021413331
65350401441310
7613226323206
oct133401752512
934626616206
1012281435466
115232606273
122469040236
1312095626a1
1484715bb06
154bd313c96
hex2dc07d54a

12281435466 has 64 divisors (see below), whose sum is σ = 25307275392. Its totient is φ = 3972022272.

The previous prime is 12281435431. The next prime is 12281435483. The reversal of 12281435466 is 66453418221.

12281435466 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 31 ways as a sum of consecutive naturals, for example, 10651146 + ... + 10652298.

It is an arithmetic number, because the mean of its divisors is an integer number (395426178).

Almost surely, 212281435466 is an apocalyptic number.

12281435466 is an abundant number, since it is smaller than the sum of its proper divisors (13025839926).

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

12281435466 is a wasteful number, since it uses less digits than its factorization.

12281435466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607.

The product of its digits is 276480, while the sum is 42.

The spelling of 12281435466 in words is "twelve billion, two hundred eighty-one million, four hundred thirty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 73 83 146 166 219 249 293 438 498 586 879 1153 1758 2306 3459 6059 6918 12118 18177 21389 24319 36354 42778 48638 64167 72957 84169 95699 128334 145914 168338 191398 252507 287097 337829 505014 574194 675658 1013487 1775287 2026974 3550574 5325861 6986027 10651722 13972054 20958081 24661517 28039807 41916162 49323034 56079614 73984551 84119421 147969102 168238842 2046905911 4093811822 6140717733 12281435466