Search a number
-
+
666606666 = 231121019091
BaseRepresentation
bin100111101110111…
…001110001001010
31201110100010102210
4213232321301022
52331122403131
6150051405550
722343030445
oct4756716112
91643303383
10666606666
11312311500
121672b38b6
13a8149a1b
146476465c
153d7c8146
hex27bb9c4a

666606666 has 48 divisors (see below), whose sum is σ = 1480104864. Its totient is φ = 199980000.

The previous prime is 666606653. The next prime is 666606667.

666606666 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (666606667) 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 23 ways as a sum of consecutive naturals, for example, 68781 + ... + 77871.

It is an arithmetic number, because the mean of its divisors is an integer number (30835518).

Almost surely, 2666606666 is an apocalyptic number.

666606666 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 666606666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740052432).

666606666 is an abundant number, since it is smaller than the sum of its proper divisors (813498198).

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

666606666 is a wasteful number, since it uses less digits than its factorization.

666606666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The square root of 666606666 is about 25818.7270406579. The cubic root of 666606666 is about 873.5542562449.

The spelling of 666606666 in words is "six hundred sixty-six million, six hundred six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 2222 3333 6666 9091 12221 18182 24442 27273 36663 54546 73326 100001 200002 300003 600006 918191 1100011 1836382 2200022 2754573 3300033 5509146 6600066 10100101 20200202 30300303 60600606 111101111 222202222 333303333 666606666