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12849794401 is a prime number
BaseRepresentation
bin10111111011110100…
…00100110101100001
31020011112011012010011
423331322010311201
5202304021410101
65523023404521
7633300310303
oct137572046541
936145135104
1012849794401
1154a44127a4
1225a7453741
13129a230352
1489c829973
15503181751
hex2fde84d61

12849794401 has 2 divisors, whose sum is σ = 12849794402. Its totient is φ = 12849794400.

The previous prime is 12849794371. The next prime is 12849794429. The reversal of 12849794401 is 10449794821.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6878214225 + 5971580176 = 82935^2 + 77276^2 .

It is a cyclic number.

It is not a de Polignac number, because 12849794401 - 219 = 12849270113 is a prime.

It is a super-2 number, since 2×128497944012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12849794431) 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 as a sum of consecutive naturals, namely, 6424897200 + 6424897201.

It is an arithmetic number, because the mean of its divisors is an integer number (6424897201).

Almost surely, 212849794401 is an apocalyptic number.

It is an amenable number.

12849794401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12849794401 is an equidigital number, since it uses as much as digits as its factorization.

12849794401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 12849794401 in words is "twelve billion, eight hundred forty-nine million, seven hundred ninety-four thousand, four hundred one".