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12184087664 = 247886112277
BaseRepresentation
bin10110101100011101…
…00110110001110000
31011110010111210011002
423112032212301300
5144423111301124
65333003141132
7610635015320
oct132616466160
934403453132
1012184087664
115192666441
1224405147a8
1311c233a138
1483825b280
154b49d50ae
hex2d63a6c70

12184087664 has 40 divisors (see below), whose sum is σ = 26984293728. Its totient is φ = 5220737280.

The previous prime is 12184087627. The next prime is 12184087709. The reversal of 12184087664 is 46678048121.

12184087664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 986294 + ... + 998570.

Almost surely, 212184087664 is an apocalyptic number.

12184087664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12184087664 is an abundant number, since it is smaller than the sum of its proper divisors (14800206064).

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

12184087664 is a wasteful number, since it uses less digits than its factorization.

12184087664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21153 (or 21147 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 12184087664 in words is "twelve billion, one hundred eighty-four million, eighty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 8861 12277 17722 24554 35444 49108 62027 70888 85939 98216 124054 141776 171878 196432 248108 343756 496216 687512 992432 1375024 108786497 217572994 435145988 761505479 870291976 1523010958 1740583952 3046021916 6092043832 12184087664