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66385901 = 17229892
BaseRepresentation
bin1111110100111…
…1011111101101
311121220202100002
43331033133231
5113443322101
610330514045
71434161621
oct375173755
9147822302
1066385901
113452278a
121a295925
13109a47ca
148b61181
155c64d6b
hex3f4f7ed

66385901 has 18 divisors (see below), whose sum is σ = 73781310. Its totient is φ = 59648512.

The previous prime is 66385883. The next prime is 66385919. The reversal of 66385901 is 10958366.

It is an interprime number because it is at equal distance from previous prime (66385883) and next prime (66385919).

It can be written as a sum of positive squares in 9 ways, for example, as 10883401 + 55502500 = 3299^2 + 7450^2 .

It is a de Polignac number, because none of the positive numbers 2k-66385901 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66385931) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 745865 + ... + 745953.

Almost surely, 266385901 is an apocalyptic number.

It is an amenable number.

66385901 is a deficient number, since it is larger than the sum of its proper divisors (7395409).

66385901 is an equidigital number, since it uses as much as digits as its factorization.

66385901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 66385901 is about 8147.7543531945. The cubic root of 66385901 is about 404.9101075705.

The spelling of 66385901 in words is "sixty-six million, three hundred eighty-five thousand, nine hundred one".

Divisors: 1 17 29 89 289 493 1513 2581 7921 8381 25721 43877 134657 229709 745909 2289169 3905053 66385901