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66386682 = 2335967311
BaseRepresentation
bin1111110100111…
…1101011111010
311121220210102000
43331033223322
5113443333212
610330521430
71434164115
oct375175372
9147823360
1066386682
113452332a
121a296276
13109a4c7b
148b6157c
155c651dc
hex3f4fafa

66386682 has 64 divisors (see below), whose sum is σ = 152755200. Its totient is φ = 21360240.

The previous prime is 66386681. The next prime is 66386689. The reversal of 66386682 is 28668366.

66386682 is a `hidden beast` number, since 6 + 638 + 6 + 6 + 8 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66386681) 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 31 ways as a sum of consecutive naturals, for example, 213307 + ... + 213617.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 266386682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66386682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

66386682 is an abundant number, since it is smaller than the sum of its proper divisors (86368518).

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

66386682 is a wasteful number, since it uses less digits than its factorization.

66386682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 66386682 is about 8147.8022803698. The cubic root of 66386682 is about 404.9116954255.

The spelling of 66386682 in words is "sixty-six million, three hundred eighty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 59 67 118 134 177 201 311 354 402 531 603 622 933 1062 1206 1593 1809 1866 2799 3186 3618 3953 5598 7906 8397 11859 16794 18349 20837 23718 35577 36698 41674 55047 62511 71154 106731 110094 125022 165141 187533 213462 330282 375066 495423 562599 990846 1125198 1229383 2458766 3688149 7376298 11064447 22128894 33193341 66386682