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12686948289 = 3210912932669
BaseRepresentation
bin10111101000011001…
…10111011111000001
31012202011201202020200
423310030313133001
5201440324321124
65454525155413
7626252165301
oct136414673701
935664652220
1012686948289
1154204a7034
1225609bbb69
1312725842c2
14884d59601
154e3c15bc9
hex2f43377c1

12686948289 has 12 divisors (see below), whose sum is σ = 18493718100. Its totient is φ = 8380368864.

The previous prime is 12686948233. The next prime is 12686948321. The reversal of 12686948289 is 98284968621.

12686948289 is a `hidden beast` number, since 1 + 268 + 6 + 94 + 8 + 289 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4253648400 + 8433299889 = 65220^2 + 91833^2 .

It is not a de Polignac number, because 12686948289 - 211 = 12686946241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12686948789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6465354 + ... + 6467315.

It is an arithmetic number, because the mean of its divisors is an integer number (1541143175).

Almost surely, 212686948289 is an apocalyptic number.

It is an amenable number.

12686948289 is a deficient number, since it is larger than the sum of its proper divisors (5806769811).

12686948289 is a wasteful number, since it uses less digits than its factorization.

12686948289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12932784 (or 12932781 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 12686948289 in words is "twelve billion, six hundred eighty-six million, nine hundred forty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 9 109 327 981 12932669 38798007 116394021 1409660921 4228982763 12686948289