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12668136849 = 3237311122323
BaseRepresentation
bin10111100110001010…
…00110110110010001
31012200212100000210200
423303011012312101
5201421020334344
65453014045413
7625633246404
oct136305066621
935625300720
1012668136849
115410918795
122556649869
13126b6c8b84
1488265dd3b
154e224c069
hex2f3146d91

12668136849 has 24 divisors (see below), whose sum is σ = 18853553472. Its totient is φ = 8190681120.

The previous prime is 12668136839. The next prime is 12668136881. The reversal of 12668136849 is 94863186621.

12668136849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12668136849 - 29 = 12668136337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12668136795 and 12668136804.

It is not an unprimeable number, because it can be changed into a prime (12668136809) 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 23 ways as a sum of consecutive naturals, for example, 42402 + ... + 164724.

It is an arithmetic number, because the mean of its divisors is an integer number (785564728).

Almost surely, 212668136849 is an apocalyptic number.

It is an amenable number.

12668136849 is a deficient number, since it is larger than the sum of its proper divisors (6185416623).

12668136849 is a wasteful number, since it uses less digits than its factorization.

12668136849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122677 (or 122674 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 12668136849 in words is "twelve billion, six hundred sixty-eight million, one hundred thirty-six thousand, eight hundred forty-nine".

Divisors: 1 3 9 37 111 311 333 933 2799 11507 34521 103563 122323 366969 1100907 4525951 13577853 38042453 40733559 114127359 342382077 1407570761 4222712283 12668136849