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12648350661337 is a prime number
BaseRepresentation
bin1011100000001110110001…
…1100101011101011011001
31122210011121022020020121101
42320003230130223223121
53124212310232130322
642522323322511401
72443545630501526
oct270035434535331
948704538206541
1012648350661337
11403715422a946
121503403065561
1370997149a971
1431a27d4d814d
1516e02c93a327
hexb80ec72bad9

12648350661337 has 2 divisors, whose sum is σ = 12648350661338. Its totient is φ = 12648350661336.

The previous prime is 12648350661319. The next prime is 12648350661377. The reversal of 12648350661337 is 73316605384621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8546992578576 + 4101358082761 = 2923524^2 + 2025181^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12648350661337 is a prime.

It is not a weakly prime, because it can be changed into another prime (12648350661377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6324175330668 + 6324175330669.

It is an arithmetic number, because the mean of its divisors is an integer number (6324175330669).

Almost surely, 212648350661337 is an apocalyptic number.

It is an amenable number.

12648350661337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12648350661337 is an equidigital number, since it uses as much as digits as its factorization.

12648350661337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 12648350661337 in words is "twelve trillion, six hundred forty-eight billion, three hundred fifty million, six hundred sixty-one thousand, three hundred thirty-seven".