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663385716 = 223272973877
BaseRepresentation
bin100111100010100…
…111011001110100
31201020021111010100
4213202213121310
52324311320331
6145454354100
722303454100
oct4742473164
91636244110
10663385716
11310511564
121661bb930
13a758c936
1464166900
153d38dae6
hex278a7674

663385716 has 108 divisors (see below), whose sum is σ = 1971288228. Its totient is φ = 187536384.

The previous prime is 663385687. The next prime is 663385729. The reversal of 663385716 is 617583366.

663385716 is a `hidden beast` number, since 6 + 633 + 8 + 5 + 7 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 231161616 + 432224100 = 15204^2 + 20790^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169170 + ... + 173046.

Almost surely, 2663385716 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 663385716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985644114).

663385716 is an abundant number, since it is smaller than the sum of its proper divisors (1307902512).

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

663385716 is a wasteful number, since it uses less digits than its factorization.

663385716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3986 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 663385716 is about 25756.2752741929. The cubic root of 663385716 is about 872.1450201391.

The spelling of 663385716 in words is "six hundred sixty-three million, three hundred eighty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 97 98 126 147 194 196 252 291 294 388 441 582 588 679 873 882 1164 1358 1746 1764 2037 2716 3492 3877 4074 4753 6111 7754 8148 9506 11631 12222 14259 15508 19012 23262 24444 27139 28518 34893 42777 46524 54278 57036 69786 81417 85554 108556 139572 162834 171108 189973 244251 325668 376069 379946 488502 569919 752138 759892 977004 1128207 1139838 1504276 1709757 2256414 2279676 2632483 3384621 3419514 4512828 5264966 6769242 6839028 7897449 10529932 13538484 15794898 18427381 23692347 31589796 36854762 47384694 55282143 73709524 94769388 110564286 165846429 221128572 331692858 663385716