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17105387105 = 54057843253
BaseRepresentation
bin11111110111000111…
…10111111001100001
31122011002210200211202
433323203313321201
5240012434341410
611505203450545
71143613251152
oct177343677141
948132720752
1017105387105
1172885aa564
123394686a55
1317c7aa1c41
14b83ab3929
156a1a92ca5
hex3fb8f7e61

17105387105 has 8 divisors (see below), whose sum is σ = 20531548392. Its totient is φ = 13680920448.

The previous prime is 17105387099. The next prime is 17105387107. The reversal of 17105387105 is 50178350171.

It can be written as a sum of positive squares in 4 ways, for example, as 7027636561 + 10077750544 = 83831^2 + 100388^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 17105387105 - 218 = 17105124961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17105387107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401342 + ... + 441911.

It is an arithmetic number, because the mean of its divisors is an integer number (2566443549).

Almost surely, 217105387105 is an apocalyptic number.

It is an amenable number.

17105387105 is a deficient number, since it is larger than the sum of its proper divisors (3426161287).

17105387105 is an equidigital number, since it uses as much as digits as its factorization.

17105387105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847315.

The product of its (nonzero) digits is 29400, while the sum is 38.

The spelling of 17105387105 in words is "seventeen billion, one hundred five million, three hundred eighty-seven thousand, one hundred five".

Divisors: 1 5 4057 20285 843253 4216265 3421077421 17105387105