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663245856 = 253271325307
BaseRepresentation
bin100111100010000…
…101010000100000
31201020000101021100
4213202011100200
52324242331411
6145451354400
722302332250
oct4742052040
91636011240
10663245856
11310426479
12166152a00
13a7541090
146412b960
153d362456
hex27885420

663245856 has 144 divisors (see below), whose sum is σ = 2321452224. Its totient is φ = 174915072.

The previous prime is 663245819. The next prime is 663245887. The reversal of 663245856 is 658542366.

663245856 is a `hidden beast` number, since 6 + 63 + 2 + 4 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13555 + ... + 38861.

It is an arithmetic number, because the mean of its divisors is an integer number (16121196).

Almost surely, 2663245856 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 663245856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160726112).

663245856 is an abundant number, since it is smaller than the sum of its proper divisors (1658206368).

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

663245856 is a wasteful number, since it uses less digits than its factorization.

663245856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25343 (or 25332 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 663245856 is about 25753.5600645814. The cubic root of 663245856 is about 872.0837250922.

The spelling of 663245856 in words is "six hundred sixty-three million, two hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 25307 26208 50614 75921 101228 151842 177149 202456 227763 303684 328991 354298 404912 455526 531447 607368 657982 708596 809824 911052 986973 1062894 1214736 1315964 1417192 1594341 1822104 1973946 2125788 2302937 2429472 2631928 2834384 2960919 3188682 3644208 3947892 4251576 4605874 5263856 5668768 5921838 6377364 6908811 7288416 7895784 8503152 9211748 10527712 11843676 12754728 13817622 15791568 17006304 18423496 20726433 23687352 25509456 27635244 31583136 36846992 41452866 47374704 51018912 55270488 73693984 82905732 94749408 110540976 165811464 221081952 331622928 663245856