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66314589 = 31123412131
BaseRepresentation
bin1111110011111…
…0000101011101
311121210010111220
43330332011131
5113434031324
610325203553
71433443665
oct374760535
9147703456
1066314589
1134484150
121a2605b9
131097b203
148b431a5
155c4db79
hex3f3e15d

66314589 has 32 divisors (see below), whose sum is σ = 103154688. Its totient is φ = 37488000.

The previous prime is 66314491. The next prime is 66314623. The reversal of 66314589 is 98541366.

It is not a de Polignac number, because 66314589 - 27 = 66314461 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66314589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66314189) 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 31 ways as a sum of consecutive naturals, for example, 30054 + ... + 32184.

It is an arithmetic number, because the mean of its divisors is an integer number (3223584).

Almost surely, 266314589 is an apocalyptic number.

66314589 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

66314589 is a deficient number, since it is larger than the sum of its proper divisors (36840099).

66314589 is a wasteful number, since it uses less digits than its factorization.

66314589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209.

The product of its digits is 155520, while the sum is 42.

The square root of 66314589 is about 8143.3770022025. The cubic root of 66314589 is about 404.7650702733.

The spelling of 66314589 in words is "sixty-six million, three hundred fourteen thousand, five hundred eighty-nine".

Divisors: 1 3 11 23 33 41 69 123 253 451 759 943 1353 2131 2829 6393 10373 23441 31119 49013 70323 87371 147039 262113 539143 961081 1617429 2009533 2883243 6028599 22104863 66314589