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26871081617 is a prime number
BaseRepresentation
bin11001000001101001…
…000010101010010001
32120100200200101021002
4121001221002222101
5420012444102432
620202220311345
71640614265552
oct310151025221
976320611232
1026871081617
111043a030376
12525b0a2555
1326c30834c3
14142ca84329
15a740bbe62
hex641a42a91

26871081617 has 2 divisors, whose sum is σ = 26871081618. Its totient is φ = 26871081616.

The previous prime is 26871081577. The next prime is 26871081647. The reversal of 26871081617 is 71618017862.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26738463361 + 132618256 = 163519^2 + 11516^2 .

It is a cyclic number.

It is not a de Polignac number, because 26871081617 - 212 = 26871077521 is a prime.

It is not a weakly prime, because it can be changed into another prime (26871081647) 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, 13435540808 + 13435540809.

It is an arithmetic number, because the mean of its divisors is an integer number (13435540809).

Almost surely, 226871081617 is an apocalyptic number.

It is an amenable number.

26871081617 is a deficient number, since it is larger than the sum of its proper divisors (1).

26871081617 is an equidigital number, since it uses as much as digits as its factorization.

26871081617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 47.

The spelling of 26871081617 in words is "twenty-six billion, eight hundred seventy-one million, eighty-one thousand, six hundred seventeen".