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164313565 = 51329611429
BaseRepresentation
bin10011100101100…
…11100111011101
3102110011222211121
421302303213131
5314031013230
624145450541
74033433203
oct1162634735
9373158747
10164313565
1184829239
1247040a51
1328070c80
1417b73073
15e65a77a
hex9cb39dd

164313565 has 32 divisors (see below), whose sum is σ = 223423200. Its totient is φ = 115153920.

The previous prime is 164313557. The next prime is 164313571. The reversal of 164313565 is 565313461.

It can be written as a sum of positive squares in 16 ways, for example, as 143856036 + 20457529 = 11994^2 + 4523^2 .

It is not a de Polignac number, because 164313565 - 23 = 164313557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164313565.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 114271 + ... + 115699.

It is an arithmetic number, because the mean of its divisors is an integer number (6981975).

Almost surely, 2164313565 is an apocalyptic number.

It is an amenable number.

164313565 is a deficient number, since it is larger than the sum of its proper divisors (59109635).

164313565 is a wasteful number, since it uses less digits than its factorization.

164313565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537.

The product of its digits is 32400, while the sum is 34.

The square root of 164313565 is about 12818.4852849313. The cubic root of 164313565 is about 547.7189994248.

The spelling of 164313565 in words is "one hundred sixty-four million, three hundred thirteen thousand, five hundred sixty-five".

Divisors: 1 5 13 29 61 65 145 305 377 793 1429 1769 1885 3965 7145 8845 18577 22997 41441 87169 92885 114985 207205 435845 538733 1133197 2527901 2693665 5665985 12639505 32862713 164313565