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666541644 = 223175979701
BaseRepresentation
bin100111101110101…
…001111001001100
31201110012211020120
4213232221321030
52331113313034
6150050144540
722342340046
oct4756517114
91643184216
10666541644
1131227766a
12167282150
13a8126252
1464748a96
153d7b3c49
hex27ba9e4c

666541644 has 96 divisors (see below), whose sum is σ = 1698278400. Its totient is φ = 202675200.

The previous prime is 666541607. The next prime is 666541663. The reversal of 666541644 is 446145666.

It is a junction number, because it is equal to n+sod(n) for n = 666541596 and 666541605.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 950494 + ... + 951194.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2666541644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666541644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

666541644 is an abundant number, since it is smaller than the sum of its proper divisors (1031736756).

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

666541644 is a wasteful number, since it uses less digits than its factorization.

666541644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 861 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 666541644 is about 25817.4678076685. The cubic root of 666541644 is about 873.5258526427.

The spelling of 666541644 in words is "six hundred sixty-six million, five hundred forty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 79 102 118 158 177 204 236 237 316 354 474 701 708 948 1003 1343 1402 2006 2103 2686 2804 3009 4012 4029 4206 4661 5372 6018 8058 8412 9322 11917 12036 13983 16116 18644 23834 27966 35751 41359 47668 55379 55932 71502 79237 82718 110758 124077 143004 158474 165436 166137 221516 237711 248154 316948 332274 475422 496308 664548 703103 941443 950844 1406206 1882886 2109309 2812412 2824329 3267361 3765772 4218618 5648658 6534722 8437236 9802083 11297316 13069444 19604166 39208332 55545137 111090274 166635411 222180548 333270822 666541644