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663566688 = 2533811947
BaseRepresentation
bin100111100011010…
…011100101100000
31201020121200101000
4213203103211200
52324333113223
6145502312000
722305136521
oct4743234540
91636550330
10663566688
11310625524
12166288600
13a7624115
14641b2848
153d3c7543
hex278d3960

663566688 has 96 divisors (see below), whose sum is σ = 1939835520. Its totient is φ = 220682880.

The previous prime is 663566671. The next prime is 663566693. The reversal of 663566688 is 886665366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700231 + ... + 701177.

It is an arithmetic number, because the mean of its divisors is an integer number (20206620).

Almost surely, 2663566688 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 663566688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969917760).

663566688 is an abundant number, since it is smaller than the sum of its proper divisors (1276268832).

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

663566688 is a wasteful number, since it uses less digits than its factorization.

663566688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1763 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 663566688 is about 25759.7881978870. The cubic root of 663566688 is about 872.2243201474.

The spelling of 663566688 in words is "six hundred sixty-three million, five hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 811 864 947 1622 1894 2433 2841 3244 3788 4866 5682 6488 7299 7576 8523 9732 11364 12976 14598 15152 17046 19464 21897 22728 25569 25952 29196 30304 34092 38928 43794 45456 51138 58392 68184 77856 87588 90912 102276 116784 136368 175176 204552 233568 272736 350352 409104 700704 768017 818208 1536034 2304051 3072068 4608102 6144136 6912153 9216204 12288272 13824306 18432408 20736459 24576544 27648612 36864816 41472918 55297224 73729632 82945836 110594448 165891672 221188896 331783344 663566688