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27581056141 is a prime number
BaseRepresentation
bin11001101011111101…
…011000010010001101
32122012011121211012211
4121223331120102031
5422441222244031
620400501430421
71664325052252
oct315375302215
978164554184
1027581056141
1110773872781
125418a0b411
1327a71a5982
141499097429
15ab65aebb1
hex66bf5848d

27581056141 has 2 divisors, whose sum is σ = 27581056142. Its totient is φ = 27581056140.

The previous prime is 27581056099. The next prime is 27581056163. The reversal of 27581056141 is 14165018572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26881242025 + 699814116 = 163955^2 + 26454^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27581056141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27581056094 and 27581056103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27581056171) 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, 13790528070 + 13790528071.

It is an arithmetic number, because the mean of its divisors is an integer number (13790528071).

Almost surely, 227581056141 is an apocalyptic number.

It is an amenable number.

27581056141 is a deficient number, since it is larger than the sum of its proper divisors (1).

27581056141 is an equidigital number, since it uses as much as digits as its factorization.

27581056141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 27581056141 in words is "twenty-seven billion, five hundred eighty-one million, fifty-six thousand, one hundred forty-one".