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27660838949 is a prime number
BaseRepresentation
bin11001110000101101…
…101110100000100101
32122101201202012122122
4121300231232200211
5423122133321244
620412431435325
71666314152222
oct316055564045
978351665578
1027660838949
1110804905787
12543b685b45
1327ba88b233
1414a5904949
15abd5be1ee
hex670b6e825

27660838949 has 2 divisors, whose sum is σ = 27660838950. Its totient is φ = 27660838948.

The previous prime is 27660838921. The next prime is 27660838963. The reversal of 27660838949 is 94983806672.

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., 20836922500 + 6823916449 = 144350^2 + 82607^2 .

It is a cyclic number.

It is not a de Polignac number, because 27660838949 - 212 = 27660834853 is a prime.

It is a super-2 number, since 2×276608389492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27660838891 and 27660838900.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27660838349) 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, 13830419474 + 13830419475.

It is an arithmetic number, because the mean of its divisors is an integer number (13830419475).

Almost surely, 227660838949 is an apocalyptic number.

It is an amenable number.

27660838949 is a deficient number, since it is larger than the sum of its proper divisors (1).

27660838949 is an equidigital number, since it uses as much as digits as its factorization.

27660838949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 27660838949 in words is "twenty-seven billion, six hundred sixty million, eight hundred thirty-eight thousand, nine hundred forty-nine".