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12809616129 = 342922724023
BaseRepresentation
bin10111110111000001…
…10011101100000001
31020001201112220220000
423323200303230001
5202213230204004
65515030310213
7632301640422
oct137340635401
936051486800
1012809616129
115483770212
122595ab8369
131291b0361b
1489736b649
154ee896c39
hex2fb833b01

12809616129 has 40 divisors (see below), whose sum is σ = 19883223360. Its totient is φ = 8208605664.

The previous prime is 12809616121. The next prime is 12809616139. The reversal of 12809616129 is 92161690821.

12809616129 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 9 + 616 + 1 + 29 = 666.

12809616129 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 12809616129 - 23 = 12809616121 is a prime.

It is a Smith number, since the sum of its digits (45) 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 (12809616121) 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 39 ways as a sum of consecutive naturals, for example, 521212 + ... + 545234.

It is an arithmetic number, because the mean of its divisors is an integer number (497080584).

Almost surely, 212809616129 is an apocalyptic number.

It is an amenable number.

12809616129 is a deficient number, since it is larger than the sum of its proper divisors (7073607231).

12809616129 is a wasteful number, since it uses less digits than its factorization.

12809616129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24291 (or 24282 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12809616129 in words is "twelve billion, eight hundred nine million, six hundred sixteen thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 29 81 87 227 261 681 783 2043 2349 6129 6583 18387 19749 24023 59247 72069 177741 216207 533223 648621 696667 1945863 2090001 5453221 6270003 16359663 18810009 49078989 56430027 147236967 158143409 441710901 474430227 1423290681 4269872043 12809616129