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66008271 = 3710330517
BaseRepresentation
bin1111101111001…
…1010011001111
311121012120022210
43323303103033
5113344231041
610314441503
71431026640
oct373632317
9147176283
1066008271
1134294a9a
121a133293
13108a1964
148aa36c7
155bdd016
hex3ef34cf

66008271 has 16 divisors (see below), whose sum is σ = 101563904. Its totient is φ = 37351584.

The previous prime is 66008233. The next prime is 66008273. The reversal of 66008271 is 17280066.

It is a happy number.

It is not a de Polignac number, because 66008271 - 29 = 66007759 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66008273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13096 + ... + 17421.

It is an arithmetic number, because the mean of its divisors is an integer number (6347744).

Almost surely, 266008271 is an apocalyptic number.

66008271 is a deficient number, since it is larger than the sum of its proper divisors (35555633).

66008271 is a wasteful number, since it uses less digits than its factorization.

66008271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30630.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 66008271 is about 8124.5474335498. The cubic root of 66008271 is about 404.1408827188.

The spelling of 66008271 in words is "sixty-six million, eight thousand, two hundred seventy-one".

Divisors: 1 3 7 21 103 309 721 2163 30517 91551 213619 640857 3143251 9429753 22002757 66008271