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165664845 = 345974217
BaseRepresentation
bin10011101111111…
…01100001001101
3102112201122110000
421313331201031
5314402233340
624234434513
74051061613
oct1167754115
9375648400
10165664845
11855714a5
1247592a39
1328425048
14180056b3
15e825d30
hex9dfd84d

165664845 has 40 divisors (see below), whose sum is σ = 300102264. Its totient is φ = 87422976.

The previous prime is 165664843. The next prime is 165664859. The reversal of 165664845 is 548466561.

165664845 = T28 + T29 + ... + T997.

165664845 is a `hidden beast` number, since 1 + 6 + 566 + 4 + 84 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40717161 + 124947684 = 6381^2 + 11178^2 .

It is not a de Polignac number, because 165664845 - 21 = 165664843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 165664845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165664841) 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 39 ways as a sum of consecutive naturals, for example, 37177 + ... + 41393.

Almost surely, 2165664845 is an apocalyptic number.

165664845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165664845 is a deficient number, since it is larger than the sum of its proper divisors (134437419).

165664845 is an equidigital number, since it uses as much as digits as its factorization.

165664845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4322 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 165664845 is about 12871.0856185483. The cubic root of 165664845 is about 549.2163440096.

The spelling of 165664845 in words is "one hundred sixty-five million, six hundred sixty-four thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 97 135 291 405 485 873 1455 2619 4217 4365 7857 12651 13095 21085 37953 39285 63255 113859 189765 341577 409049 569295 1227147 1707885 2045245 3681441 6135735 11044323 18407205 33132969 55221615 165664845