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666441405 = 33572100747
BaseRepresentation
bin100111101110010…
…001011010111101
31201110000201202000
4213232101122331
52331102111110
6150044052513
722341441600
oct4756213275
91643021660
10666441405
11312209323
12167234139
13a80bc736
1464720337
153d7941c0
hex27b916bd

666441405 has 48 divisors (see below), whose sum is σ = 1378232640. Its totient is φ = 304655904.

The previous prime is 666441383. The next prime is 666441407. The reversal of 666441405 is 504144666.

It is not a de Polignac number, because 666441405 - 27 = 666441277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 666441405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666441407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43759 + ... + 56988.

It is an arithmetic number, because the mean of its divisors is an integer number (28713180).

Almost surely, 2666441405 is an apocalyptic number.

It is an amenable number.

666441405 is an abundant number, since it is smaller than the sum of its proper divisors (711791235).

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

666441405 is a wasteful number, since it uses less digits than its factorization.

666441405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100775 (or 100762 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 666441405 is about 25815.5264327497. The cubic root of 666441405 is about 873.4820615565.

The spelling of 666441405 in words is "six hundred sixty-six million, four hundred forty-one thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 100747 302241 503735 705229 906723 1511205 2115687 2720169 3526145 4533615 4936603 6347061 10578435 13600845 14809809 19041183 24683015 31735305 44429427 74049045 95205915 133288281 222147135 666441405