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27617712613 is a prime number
BaseRepresentation
bin11001101110001001…
…001101100111100101
32122021201121011102221
4121232021031213211
5423030113300423
620404251232341
71665251453401
oct315611154745
978251534387
1027617712613
111079252a287
1254291486b1
1327b196b6aa
14149dcba101
15ab9900e5d
hex66e24d9e5

27617712613 has 2 divisors, whose sum is σ = 27617712614. Its totient is φ = 27617712612.

The previous prime is 27617712587. The next prime is 27617712631. The reversal of 27617712613 is 31621771672.

It is a happy number.

Together with next prime (27617712631) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18435665284 + 9182047329 = 135778^2 + 95823^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27617712613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27617712613.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27617712643) 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, 13808856306 + 13808856307.

It is an arithmetic number, because the mean of its divisors is an integer number (13808856307).

Almost surely, 227617712613 is an apocalyptic number.

It is an amenable number.

27617712613 is a deficient number, since it is larger than the sum of its proper divisors (1).

27617712613 is an equidigital number, since it uses as much as digits as its factorization.

27617712613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 148176, while the sum is 43.

The spelling of 27617712613 in words is "twenty-seven billion, six hundred seventeen million, seven hundred twelve thousand, six hundred thirteen".