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12876821249 is a prime number
BaseRepresentation
bin10111111111000010…
…01011001100000001
31020020102000021222112
423333201023030001
5202332431234444
65525430545105
7634046113625
oct137741131401
936212007875
1012876821249
1155086a2436
1225b4508195
1312a2a03c76
148a2263185
1550571e69e
hex2ff84b301

12876821249 has 2 divisors, whose sum is σ = 12876821250. Its totient is φ = 12876821248.

The previous prime is 12876821131. The next prime is 12876821263. The reversal of 12876821249 is 94212867821.

12876821249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7826587024 + 5050234225 = 88468^2 + 71065^2 .

It is a cyclic number.

It is not a de Polignac number, because 12876821249 - 224 = 12860044033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12876821197 and 12876821206.

It is not a weakly prime, because it can be changed into another prime (12876821299) 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 as a sum of consecutive naturals, namely, 6438410624 + 6438410625.

It is an arithmetic number, because the mean of its divisors is an integer number (6438410625).

Almost surely, 212876821249 is an apocalyptic number.

It is an amenable number.

12876821249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12876821249 is an equidigital number, since it uses as much as digits as its factorization.

12876821249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 774144, while the sum is 50.

The spelling of 12876821249 in words is "twelve billion, eight hundred seventy-six million, eight hundred twenty-one thousand, two hundred forty-nine".