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5305084668 = 223213173831741
BaseRepresentation
bin1001111000011010…
…10010101011111100
3111200201110020001100
410330031102223330
541331100202133
62234230213100
7245315322102
oct47415225374
914621406040
105305084668
1122826446a4
1210407b4190
13667119b70
143847d9c72
15210b1be13
hex13c352afc

5305084668 has 144 divisors (see below), whose sum is σ = 15339856896. Its totient is φ = 1531422720.

The previous prime is 5305084633. The next prime is 5305084801. The reversal of 5305084668 is 8664805035.

5305084668 is a `hidden beast` number, since 530 + 50 + 8 + 4 + 6 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3046278 + ... + 3048018.

It is an arithmetic number, because the mean of its divisors is an integer number (106526784).

Almost surely, 25305084668 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 5305084668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7669928448).

5305084668 is an abundant number, since it is smaller than the sum of its proper divisors (10034772228).

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

5305084668 is a wasteful number, since it uses less digits than its factorization.

5305084668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5305084668 is about 72836.0121643133. The cubic root of 5305084668 is about 1744.0707819763.

The spelling of 5305084668 in words is "five billion, three hundred five million, eighty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 383 442 468 612 663 766 884 1149 1326 1532 1741 1989 2298 2652 3447 3482 3978 4596 4979 5223 6511 6894 6964 7956 9958 10446 13022 13788 14937 15669 19533 19916 20892 22633 26044 29597 29874 31338 39066 44811 45266 58599 59194 59748 62676 67899 78132 84643 88791 89622 90532 117198 118388 135798 169286 177582 179244 203697 234396 253929 266373 271596 338572 355164 384761 407394 507858 532746 666803 761787 769522 814788 1015716 1065492 1154283 1333606 1523574 1539044 2000409 2308566 2667212 3047148 3462849 4000818 4617132 6001227 6925698 8001636 8668439 11335651 12002454 13851396 17336878 22671302 24004908 26005317 34006953 34673756 45342604 52010634 68013906 78015951 102020859 104021268 136027812 147363463 156031902 204041718 294726926 312063804 408083436 442090389 589453852 884180778 1326271167 1768361556 2652542334 5305084668