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66667986 = 232711103467
BaseRepresentation
bin1111111001010…
…0010111010010
311122110002021200
43332110113102
5114031333421
610340532030
71436445210
oct376242722
9148402250
1066667986
11346a5710
121a3b1016
1310a73018
148bd5cb0
155cbd726
hex3f945d2

66667986 has 96 divisors (see below), whose sum is σ = 182227968. Its totient is φ = 17111520.

The previous prime is 66667973. The next prime is 66668027. The reversal of 66667986 is 68976666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142525 + ... + 142991.

It is an arithmetic number, because the mean of its divisors is an integer number (1898208).

Almost surely, 266667986 is an apocalyptic number.

66667986 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66667986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91113984).

66667986 is an abundant number, since it is smaller than the sum of its proper divisors (115559982).

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

66667986 is a wasteful number, since it uses less digits than its factorization.

66667986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 593 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 66667986 is about 8165.0466012142. The cubic root of 66667986 is about 405.4828078379.

The spelling of 66667986 in words is "sixty-six million, six hundred sixty-seven thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 103 126 154 198 206 231 309 462 467 618 693 721 927 934 1133 1386 1401 1442 1854 2163 2266 2802 3269 3399 4203 4326 5137 6489 6538 6798 7931 8406 9807 10197 10274 12978 15411 15862 19614 20394 23793 29421 30822 35959 46233 47586 48101 58842 71379 71918 92466 96202 107877 142758 144303 215754 288606 323631 336707 432909 529111 647262 673414 865818 1010121 1058222 1587333 2020242 3030363 3174666 3703777 4761999 6060726 7407554 9523998 11111331 22222662 33333993 66667986