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164312065 = 545771909
BaseRepresentation
bin10011100101100…
…11010000000001
3102110011220210001
421302303100001
5314030441230
624145440001
74033425631
oct1162632001
9373156701
10164312065
11848280a5
1247040001
1328070398
1417b726c1
15e65a0ca
hex9cb3401

164312065 has 8 divisors (see below), whose sum is σ = 197608680. Its totient is φ = 131160192.

The previous prime is 164312063. The next prime is 164312077. The reversal of 164312065 is 560213461.

It can be written as a sum of positive squares in 4 ways, for example, as 44715969 + 119596096 = 6687^2 + 10936^2 .

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 164312065 - 21 = 164312063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164312063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33670 + ... + 38239.

It is an arithmetic number, because the mean of its divisors is an integer number (24701085).

Almost surely, 2164312065 is an apocalyptic number.

It is an amenable number.

164312065 is a deficient number, since it is larger than the sum of its proper divisors (33296615).

164312065 is an equidigital number, since it uses as much as digits as its factorization.

164312065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72371.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 164312065 is about 12818.4267755446. The cubic root of 164312065 is about 547.7173327314.

It can be divided in two parts, 16431 and 2065, that added together give a square (18496 = 1362).

The spelling of 164312065 in words is "one hundred sixty-four million, three hundred twelve thousand, sixty-five".

Divisors: 1 5 457 2285 71909 359545 32862413 164312065