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27034317217 is a prime number
BaseRepresentation
bin11001001011010111…
…101111000110100001
32120210001211121102001
4121023113233012201
5420331241122332
620230331124001
71644635622235
oct311327570641
976701747361
1027034317217
1110513192726
1252a58a3601
13271ab3790b
1414466165c5
15a835b30e7
hex64b5ef1a1

27034317217 has 2 divisors, whose sum is σ = 27034317218. Its totient is φ = 27034317216.

The previous prime is 27034317209. The next prime is 27034317259. The reversal of 27034317217 is 71271343072.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26441686881 + 592630336 = 162609^2 + 24344^2 .

It is a cyclic number.

It is not a de Polignac number, because 27034317217 - 23 = 27034317209 is a prime.

It is a super-3 number, since 3×270343172173 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (27034317287) 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, 13517158608 + 13517158609.

It is an arithmetic number, because the mean of its divisors is an integer number (13517158609).

Almost surely, 227034317217 is an apocalyptic number.

It is an amenable number.

27034317217 is a deficient number, since it is larger than the sum of its proper divisors (1).

27034317217 is an equidigital number, since it uses as much as digits as its factorization.

27034317217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 27034317217 in words is "twenty-seven billion, thirty-four million, three hundred seventeen thousand, two hundred seventeen".