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12284669466 = 23489852037
BaseRepresentation
bin10110111000011100…
…10010111000011010
31011201010202212110000
423130032102320122
5200124333410331
65350555033430
7613265652606
oct133416227032
934633685400
1012284669466
115234414aa3
12246a13b876
13120a1256b4
14847760506
154bd7520e6
hex2dc392e1a

12284669466 has 40 divisors (see below), whose sum is σ = 27836081460. Its totient is φ = 4048875072.

The previous prime is 12284669461. The next prime is 12284669503. The reversal of 12284669466 is 66496648221.

12284669466 is a `hidden beast` number, since 12 + 28 + 466 + 94 + 66 = 666.

12284669466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12192797241 + 91872225 = 110421^2 + 9585^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12284669461) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 411601 + ... + 440436.

Almost surely, 212284669466 is an apocalyptic number.

12284669466 is an abundant number, since it is smaller than the sum of its proper divisors (15551411994).

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

12284669466 is an equidigital number, since it uses as much as digits as its factorization.

12284669466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852140 (or 852131 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 12284669466 in words is "twelve billion, two hundred eighty-four million, six hundred sixty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1602 2403 4806 7209 14418 852037 1704074 2556111 5112222 7668333 15336666 23004999 46009998 69014997 75831293 138029994 151662586 227493879 454987758 682481637 1364963274 2047444911 4094889822 6142334733 12284669466