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665049984 = 27310915889
BaseRepresentation
bin100111101000111…
…101101110000000
31201100102001001220
4213220331232000
52330223044414
6145554155040
722323555144
oct4750755600
91640361056
10665049984
11311448995
12166882a80
13a7a23301
146447b224
153d5bbca9
hex27a3db80

665049984 has 64 divisors (see below), whose sum is σ = 1782858000. Its totient is φ = 219635712.

The previous prime is 665049961. The next prime is 665050003. The reversal of 665049984 is 489940566.

665049984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33912 + ... + 49800.

Almost surely, 2665049984 is an apocalyptic number.

665049984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891429000).

665049984 is an abundant number, since it is smaller than the sum of its proper divisors (1117808016).

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

665049984 is a wasteful number, since it uses less digits than its factorization.

665049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16015 (or 16003 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 665049984 is about 25788.5630464359. The cubic root of 665049984 is about 872.8737419572.

The spelling of 665049984 in words is "six hundred sixty-five million, forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 3488 5232 6976 10464 13952 15889 20928 31778 41856 47667 63556 95334 127112 190668 254224 381336 508448 762672 1016896 1525344 1731901 2033792 3050688 3463802 5195703 6101376 6927604 10391406 13855208 20782812 27710416 41565624 55420832 83131248 110841664 166262496 221683328 332524992 665049984