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66055986 = 234715743
BaseRepresentation
bin1111101111111…
…0111100110010
311121021222210000
43323332330302
5113402242421
610315450430
71431316023
oct373767462
9147258700
1066055986
1134317927
121a156a16
13108ba5a9
148ab6c4a
155bec226
hex3efef32

66055986 has 40 divisors (see below), whose sum is σ = 150125184. Its totient is φ = 21704760.

The previous prime is 66055981. The next prime is 66055991. The reversal of 66055986 is 68955066.

It is an interprime number because it is at equal distance from previous prime (66055981) and next prime (66055991).

It is not an unprimeable number, because it can be changed into a prime (66055981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8631 + ... + 14373.

Almost surely, 266055986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66055986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75062592).

66055986 is an abundant number, since it is smaller than the sum of its proper divisors (84069198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66055986 is a wasteful number, since it uses less digits than its factorization.

66055986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 66055986 is about 8127.4833743294. The cubic root of 66055986 is about 404.2382388901.

The spelling of 66055986 in words is "sixty-six million, fifty-five thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 1278 1917 3834 5743 5751 11486 11502 17229 34458 51687 103374 155061 310122 407753 465183 815506 930366 1223259 2446518 3669777 7339554 11009331 22018662 33027993 66055986