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12136564013 = 719619147419
BaseRepresentation
bin10110100110110010…
…10100010100101101
31011022211002022221212
423103121110110231
5144323430022023
65324144404205
7606520043360
oct132331242455
934284068855
1012136564013
1151688571a2
122428616665
1311b553ac32
14831c0a0d7
154b0748e78
hex2d365452d

12136564013 has 16 divisors (see below), whose sum is σ = 14624064000. Its totient is φ = 9839266992.

The previous prime is 12136564007. The next prime is 12136564019. The reversal of 12136564013 is 31046563121.

12136564013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12136564007) and next prime (12136564019).

It is a cyclic number.

It is not a de Polignac number, because 12136564013 - 24 = 12136563997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12136564019) 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 15 ways as a sum of consecutive naturals, for example, 8618 + ... + 156036.

It is an arithmetic number, because the mean of its divisors is an integer number (914004000).

Almost surely, 212136564013 is an apocalyptic number.

It is an amenable number.

12136564013 is a deficient number, since it is larger than the sum of its proper divisors (2487499987).

12136564013 is a wasteful number, since it uses less digits than its factorization.

12136564013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148064.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 12136564013 in words is "twelve billion, one hundred thirty-six million, five hundred sixty-four thousand, thirteen".

Divisors: 1 7 19 133 619 4333 11761 82327 147419 1031933 2800961 19606727 91252361 638766527 1733794859 12136564013