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12682735664 = 241252763277
BaseRepresentation
bin10111100111111001…
…10011000000110000
31012201212210201121112
423303330303000300
5201433240020124
65454255012452
7626201321504
oct136374630060
935655721545
1012682735664
11541908a025
12255b50a128
13127173aa21
14884580304
154e368290e
hex2f3f33030

12682735664 has 20 divisors (see below), whose sum is σ = 24575150304. Its totient is φ = 6340761408.

The previous prime is 12682735661. The next prime is 12682735673. The reversal of 12682735664 is 46653728621.

It is a happy number.

12682735664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12682735661) 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 3 ways as a sum of consecutive naturals, for example, 168794 + ... + 232070.

Almost surely, 212682735664 is an apocalyptic number.

It is an amenable number.

12682735664 is a deficient number, since it is larger than the sum of its proper divisors (11892414640).

12682735664 is a wasteful number, since it uses less digits than its factorization.

12682735664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75812 (or 75806 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

The spelling of 12682735664 in words is "twelve billion, six hundred eighty-two million, seven hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 12527 25054 50108 63277 100216 126554 200432 253108 506216 1012432 792670979 1585341958 3170683916 6341367832 12682735664