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27653423141 is a prime number
BaseRepresentation
bin11001110000010001…
…011100000000100101
32122101012210110002002
4121300101130000211
5423113234020031
620412004455045
71666164134621
oct316021340045
978335713062
1027653423141
1110800700113
1254390aa485
1327b9192996
1414a4934181
15abcb06ccb
hex67045c025

27653423141 has 2 divisors, whose sum is σ = 27653423142. Its totient is φ = 27653423140.

The previous prime is 27653423131. The next prime is 27653423177. The reversal of 27653423141 is 14132435672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21405153025 + 6248270116 = 146305^2 + 79046^2 .

It is a cyclic number.

It is not a de Polignac number, because 27653423141 - 210 = 27653422117 is a prime.

It is a super-3 number, since 3×276534231413 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 27653423095 and 27653423104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27653423131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13826711570 + 13826711571.

It is an arithmetic number, because the mean of its divisors is an integer number (13826711571).

Almost surely, 227653423141 is an apocalyptic number.

It is an amenable number.

27653423141 is a deficient number, since it is larger than the sum of its proper divisors (1).

27653423141 is an equidigital number, since it uses as much as digits as its factorization.

27653423141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 38.

The spelling of 27653423141 in words is "twenty-seven billion, six hundred fifty-three million, four hundred twenty-three thousand, one hundred forty-one".