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16705753117 = 37538518997
BaseRepresentation
bin11111000111011110…
…11001000000011101
31121010020211012001221
433203233121000131
5233203133044432
611401410133341
71130661362404
oct174357310035
947106735057
1016705753117
1170a2a64639
1232a2881251
13176305b121
14b469a663b
1567b952b97
hex3e3bd901d

16705753117 has 8 divisors (see below), whose sum is σ = 17480983896. Its totient is φ = 15947560512.

The previous prime is 16705753111. The next prime is 16705753151. The reversal of 16705753117 is 71135750761.

It can be written as a sum of positive squares in 4 ways, for example, as 9103831396 + 7601921721 = 95414^2 + 87189^2 .

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 16705753117 - 219 = 16705228829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16705753111) 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 in 7 ways as a sum of consecutive naturals, for example, 4257538 + ... + 4261459.

It is an arithmetic number, because the mean of its divisors is an integer number (2185122987).

Almost surely, 216705753117 is an apocalyptic number.

It is an amenable number.

16705753117 is a deficient number, since it is larger than the sum of its proper divisors (775230779).

16705753117 is an equidigital number, since it uses as much as digits as its factorization.

16705753117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519087.

The product of its (nonzero) digits is 154350, while the sum is 43.

The spelling of 16705753117 in words is "sixteen billion, seven hundred five million, seven hundred fifty-three thousand, one hundred seventeen".

Divisors: 1 37 53 1961 8518997 315202889 451506841 16705753117