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66061736 = 23137972
BaseRepresentation
bin1111110000000…
…0010110101000
311121022021122222
43330000112220
5113402433421
610315533212
71431341546
oct374002650
9147267588
1066061736
1134321184
121a15a208
13108c00b0
148ab8d96
155bedcab
hex3f005a8

66061736 has 24 divisors (see below), whose sum is σ = 133561470. Its totient is φ = 30451776.

The previous prime is 66061733. The next prime is 66061741. The reversal of 66061736 is 63716066.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 44809636 + 21252100 = 6694^2 + 4610^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66061696 and 66061705.

It is not an unprimeable number, because it can be changed into a prime (66061733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82490 + ... + 83286.

Almost surely, 266061736 is an apocalyptic number.

It is an amenable number.

66061736 is an abundant number, since it is smaller than the sum of its proper divisors (67499734).

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

66061736 is an equidigital number, since it uses as much as digits as its factorization.

66061736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 66061736 is about 8127.8371046669. The cubic root of 66061736 is about 404.2499678419.

The spelling of 66061736 in words is "sixty-six million, sixty-one thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 797 1594 3188 6376 10361 20722 41444 82888 635209 1270418 2540836 5081672 8257717 16515434 33030868 66061736