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985175165 = 51397156253
BaseRepresentation
bin111010101110001…
…001010001111101
32112122210002021002
4322232021101331
54004201101130
6241431420045
733261564542
oct7256112175
92478702232
10985175165
11466118757
12235b24625
131291494b0
1494bacbc9
155b753b45
hex3ab8947d

985175165 has 16 divisors (see below), whose sum is σ = 1286282928. Its totient is φ = 720009216.

The previous prime is 985175161. The next prime is 985175173. The reversal of 985175165 is 561571589.

It can be written as a sum of positive squares in 8 ways, for example, as 385219129 + 599956036 = 19627^2 + 24494^2 .

It is a cyclic number.

It is not a de Polignac number, because 985175165 - 22 = 985175161 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985175161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71822 + ... + 84431.

It is an arithmetic number, because the mean of its divisors is an integer number (80392683).

Almost surely, 2985175165 is an apocalyptic number.

It is an amenable number.

985175165 is a deficient number, since it is larger than the sum of its proper divisors (301107763).

985175165 is a wasteful number, since it uses less digits than its factorization.

985175165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156368.

The product of its digits is 378000, while the sum is 47.

The square root of 985175165 is about 31387.5001393867. The cubic root of 985175165 is about 995.0337656782.

The spelling of 985175165 in words is "nine hundred eighty-five million, one hundred seventy-five thousand, one hundred sixty-five".

Divisors: 1 5 13 65 97 485 1261 6305 156253 781265 2031289 10156445 15156541 75782705 197035033 985175165