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12847161601 is a prime number
BaseRepresentation
bin10111111011100000…
…00010000100000001
31020011100012102121001
423331300002010001
5202302333132401
65522451132001
7633236033431
oct137560020401
936140172531
1012847161601
1154a298472a
1225a65a4001
13129981ab91
1489c3422c1
15502d11601
hex2fdc02101

12847161601 has 2 divisors, whose sum is σ = 12847161602. Its totient is φ = 12847161600.

The previous prime is 12847161553. The next prime is 12847161671. The reversal of 12847161601 is 10616174821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12826695025 + 20466576 = 113255^2 + 4524^2 .

It is a cyclic number.

It is not a de Polignac number, because 12847161601 - 27 = 12847161473 is a prime.

It is a super-2 number, since 2×128471616012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12847161671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6423580800 + 6423580801.

It is an arithmetic number, because the mean of its divisors is an integer number (6423580801).

Almost surely, 212847161601 is an apocalyptic number.

It is an amenable number.

12847161601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12847161601 is an equidigital number, since it uses as much as digits as its factorization.

12847161601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 12847161601 in words is "twelve billion, eight hundred forty-seven million, one hundred sixty-one thousand, six hundred one".