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12640165289 = 4726019521
BaseRepresentation
bin10111100010110100…
…11001110110101001
31012121220200221000222
423301122121312221
5201341340242124
65450134335425
7625143426563
oct136132316651
935556627028
1012640165289
1153a70532a4
1225491ba575
13126598425b
1487ca5c333
154dea7425e
hex2f1699da9

12640165289 has 12 divisors (see below), whose sum is σ = 12937674708. Its totient is φ = 12349344000.

The previous prime is 12640165267. The next prime is 12640165297. The reversal of 12640165289 is 98256104621.

It can be written as a sum of positive squares in 2 ways, for example, as 8279544064 + 4360621225 = 90992^2 + 66035^2 .

It is not a de Polignac number, because 12640165289 - 28 = 12640165033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12640165259) 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, 1322849 + ... + 1332369.

It is an arithmetic number, because the mean of its divisors is an integer number (1078139559).

Almost surely, 212640165289 is an apocalyptic number.

It is an amenable number.

12640165289 is a deficient number, since it is larger than the sum of its proper divisors (297509419).

12640165289 is an frugal number, since it uses more digits than its factorization.

12640165289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 12640165289 in words is "twelve billion, six hundred forty million, one hundred sixty-five thousand, two hundred eighty-nine".

Divisors: 1 47 601 2209 9521 28247 447487 1327609 5722121 21031889 268939687 12640165289