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66415585 = 557723021
BaseRepresentation
bin1111110101011…
…0101111100001
311121222021001111
43331112233201
5114000244320
610331303321
71434344305
oct375265741
9147867044
1066415585
1134543015
121a2aab41
13109b5182
148b6bd05
155c6da5a
hex3f56be1

66415585 has 8 divisors (see below), whose sum is σ = 79840296. Its totient is φ = 53038080.

The previous prime is 66415571. The next prime is 66415589. The reversal of 66415585 is 58551466.

It can be written as a sum of positive squares in 4 ways, for example, as 13242321 + 53173264 = 3639^2 + 7292^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 66415585 - 211 = 66413537 is a prime.

It is a super-2 number, since 2×664155852 = 8822059861784450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66415589) 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 7 ways as a sum of consecutive naturals, for example, 8626 + ... + 14395.

It is an arithmetic number, because the mean of its divisors is an integer number (9980037).

Almost surely, 266415585 is an apocalyptic number.

It is an amenable number.

66415585 is a deficient number, since it is larger than the sum of its proper divisors (13424711).

66415585 is a wasteful number, since it uses less digits than its factorization.

66415585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23603.

The product of its digits is 144000, while the sum is 40.

The square root of 66415585 is about 8149.5757558293. The cubic root of 66415585 is about 404.9704495027.

The spelling of 66415585 in words is "sixty-six million, four hundred fifteen thousand, five hundred eighty-five".

Divisors: 1 5 577 2885 23021 115105 13283117 66415585