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12704102673 = 313150116451
BaseRepresentation
bin10111101010011100…
…10011100100010001
31012210101000021122020
423311032103210101
5202004222241143
65500341002053
7626551043133
oct136516234421
935711007566
1012704102673
11542a153409
1225666b3329
131275cac422
14887343053
154e54a3883
hex2f5393911

12704102673 has 16 divisors (see below), whose sum is σ = 17074159872. Its totient is φ = 8401770000.

The previous prime is 12704102651. The next prime is 12704102681. The reversal of 12704102673 is 37620140721.

12704102673 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 12704102673 - 29 = 12704102161 is a prime.

It is a super-2 number, since 2×127041026732 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12704102623) 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, 1966098 + ... + 1972548.

It is an arithmetic number, because the mean of its divisors is an integer number (1067134992).

Almost surely, 212704102673 is an apocalyptic number.

It is an amenable number.

12704102673 is a deficient number, since it is larger than the sum of its proper divisors (4370057199).

12704102673 is a wasteful number, since it uses less digits than its factorization.

12704102673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11596.

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 12704102673 in words is "twelve billion, seven hundred four million, one hundred two thousand, six hundred seventy-three".

Divisors: 1 3 131 393 5011 6451 15033 19353 656441 845081 1969323 2535243 32325961 96977883 4234700891 12704102673