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12284213823 = 327375269933
BaseRepresentation
bin10110111000011001…
…00011101000111111
31011201002220201102100
423130030203220333
5200124224320243
65350541200143
7613262044320
oct133414435077
934632821370
1012284213823
115234133732
122469b60053
131209cc619b
14847682447
154bd6b20d3
hex2dc323a3f

12284213823 has 24 divisors (see below), whose sum is σ = 20826779168. Its totient is φ = 6829831872.

The previous prime is 12284213803. The next prime is 12284213833. The reversal of 12284213823 is 32831248221.

12284213823 is a `hidden beast` number, since 1 + 228 + 421 + 3 + 8 + 2 + 3 = 666.

It is not a de Polignac number, because 12284213823 - 212 = 12284209727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12284213803) 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 23 ways as a sum of consecutive naturals, for example, 2632636 + ... + 2637297.

Almost surely, 212284213823 is an apocalyptic number.

12284213823 is a deficient number, since it is larger than the sum of its proper divisors (8542565345).

12284213823 is a wasteful number, since it uses less digits than its factorization.

12284213823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269983 (or 5269980 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 12284213823 in words is "twelve billion, two hundred eighty-four million, two hundred thirteen thousand, eight hundred twenty-three".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 5269933 15809799 36889531 47429397 110668593 194987521 332005779 584962563 1364912647 1754887689 4094737941 12284213823