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66109085 = 572833251
BaseRepresentation
bin1111110000101…
…1111010011101
311121101200121122
43330023322131
5113410442320
610320540325
71431626600
oct374137235
9147350548
1066109085
1134353809
121a1816a5
1310908803
148acc337
155c0cd25
hex3f0be9d

66109085 has 24 divisors (see below), whose sum is σ = 93423456. Its totient is φ = 44772000.

The previous prime is 66109079. The next prime is 66109091. The reversal of 66109085 is 58090166.

It is an interprime number because it is at equal distance from previous prime (66109079) and next prime (66109091).

It is not a de Polignac number, because 66109085 - 28 = 66108829 is a prime.

It is a super-2 number, since 2×661090852 = 8740822239074450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 23 ways as a sum of consecutive naturals, for example, 18710 + ... + 21960.

It is an arithmetic number, because the mean of its divisors is an integer number (3892644).

Almost surely, 266109085 is an apocalyptic number.

It is an amenable number.

66109085 is a deficient number, since it is larger than the sum of its proper divisors (27314371).

66109085 is a wasteful number, since it uses less digits than its factorization.

66109085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 66109085 is about 8130.7493504596. The cubic root of 66109085 is about 404.3465253033.

The spelling of 66109085 in words is "sixty-six million, one hundred nine thousand, eighty-five".

Divisors: 1 5 7 35 49 83 245 415 581 2905 3251 4067 16255 20335 22757 113785 159299 269833 796495 1349165 1888831 9444155 13221817 66109085