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663576816 = 24372307919
BaseRepresentation
bin100111100011010…
…110000011110000
31201020122012021010
4213203112003300
52324333424231
6145502430520
722305211200
oct4743260360
91636565233
10663576816
113106320a1
12166292440
13a7628906
14641b6400
153d3ca546
hex278d60f0

663576816 has 120 divisors (see below), whose sum is σ = 2002788480. Its totient is φ = 188770176.

The previous prime is 663576773. The next prime is 663576821. The reversal of 663576816 is 618675366.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 721605 + ... + 722523.

It is an arithmetic number, because the mean of its divisors is an integer number (16689904).

Almost surely, 2663576816 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 663576816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001394240).

663576816 is an abundant number, since it is smaller than the sum of its proper divisors (1339211664).

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

663576816 is a wasteful number, since it uses less digits than its factorization.

663576816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1238 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 663576816 is about 25759.9847826042. The cubic root of 663576816 is about 872.2287577034.

The spelling of 663576816 in words is "six hundred sixty-three million, five hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 307 336 392 588 614 784 919 921 1176 1228 1838 1842 2149 2352 2456 2757 3676 3684 4298 4912 5514 6433 6447 7352 7368 8596 11028 12866 12894 14704 14736 15043 17192 19299 22056 25732 25788 30086 34384 38598 44112 45031 45129 51464 51576 60172 77196 90062 90258 102928 103152 120344 135093 154392 180124 180516 240688 270186 282133 308784 360248 361032 540372 564266 720496 722064 846399 1080744 1128532 1692798 1974931 2161488 2257064 3385596 3949862 4514128 5924793 6771192 7899724 11849586 13542384 13824517 15799448 23699172 27649034 31598896 41473551 47398344 55298068 82947102 94796688 110596136 165894204 221192272 331788408 663576816