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27626261141 is a prime number
BaseRepresentation
bin11001101110101001…
…110100101010010101
32122022022200110211002
4121232221310222111
5423034310324031
620405154353045
71665414226253
oct315651645225
978268613732
1027626261141
1110797338986
12542bb8b785
1327b36726ab
1414a10a35d3
15aba53dccb
hex66ea74a95

27626261141 has 2 divisors, whose sum is σ = 27626261142. Its totient is φ = 27626261140.

The previous prime is 27626261119. The next prime is 27626261171. The reversal of 27626261141 is 14116262672.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18203676241 + 9422584900 = 134921^2 + 97070^2 .

It is a cyclic number.

It is not a de Polignac number, because 27626261141 - 218 = 27625998997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27626261095 and 27626261104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27626261171) 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, 13813130570 + 13813130571.

It is an arithmetic number, because the mean of its divisors is an integer number (13813130571).

Almost surely, 227626261141 is an apocalyptic number.

It is an amenable number.

27626261141 is a deficient number, since it is larger than the sum of its proper divisors (1).

27626261141 is an equidigital number, since it uses as much as digits as its factorization.

27626261141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 38.

The spelling of 27626261141 in words is "twenty-seven billion, six hundred twenty-six million, two hundred sixty-one thousand, one hundred forty-one".