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16414126849 is a prime number
BaseRepresentation
bin11110100100101101…
…11011001100000001
31120100221002001001001
433102112323030001
5232104004024344
611312431412001
71120520530141
oct172226731401
946327061031
1016414126849
116a6338a49a
123221084001
1317178028c3
14b19d72921
15661049ed4
hex3d25bb301

16414126849 has 2 divisors, whose sum is σ = 16414126850. Its totient is φ = 16414126848.

The previous prime is 16414126829. The next prime is 16414126889. The reversal of 16414126849 is 94862141461.

16414126849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11506423824 + 4907703025 = 107268^2 + 70055^2 .

It is a cyclic number.

It is not a de Polignac number, because 16414126849 - 231 = 14266643201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16414126799 and 16414126808.

It is not a weakly prime, because it can be changed into another prime (16414126819) 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, 8207063424 + 8207063425.

It is an arithmetic number, because the mean of its divisors is an integer number (8207063425).

Almost surely, 216414126849 is an apocalyptic number.

It is an amenable number.

16414126849 is a deficient number, since it is larger than the sum of its proper divisors (1).

16414126849 is an equidigital number, since it uses as much as digits as its factorization.

16414126849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 331776, while the sum is 46.

The spelling of 16414126849 in words is "sixteen billion, four hundred fourteen million, one hundred twenty-six thousand, eight hundred forty-nine".