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12345665364 = 2232342935149
BaseRepresentation
bin10110111111101101…
…11110011101010100
31011212101112210002100
423133312332131110
5200240442242424
65401014242100
7614636265324
oct133766763524
934771483070
1012345665364
11526589612a
122486656330
131219960a46
148518bb284
154c3c9edc9
hex2dfdbe754

12345665364 has 18 divisors (see below), whose sum is σ = 31207098650. Its totient is φ = 4115221776.

The previous prime is 12345665363. The next prime is 12345665369. The reversal of 12345665364 is 46356654321.

12345665364 is a `hidden beast` number, since 1 + 2 + 34 + 566 + 53 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9135536400 + 3210128964 = 95580^2 + 56658^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345665363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171467539 + ... + 171467610.

Almost surely, 212345665364 is an apocalyptic number.

It is an amenable number.

12345665364 is an abundant number, since it is smaller than the sum of its proper divisors (18861433286).

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

12345665364 is a wasteful number, since it uses less digits than its factorization.

12345665364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342935159 (or 342935154 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 12345665364 in words is "twelve billion, three hundred forty-five million, six hundred sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 342935149 685870298 1028805447 1371740596 2057610894 3086416341 4115221788 6172832682 12345665364