Search a number
-
+
14663561304 = 2337534313821
BaseRepresentation
bin11011010100000010…
…00011000001011000
31101211221002002120010
431222001003001120
5220012332430204
610423015001520
71026243133410
oct155201030130
941757062503
1014663561304
11624521a707
122a129692a0
1314c8c306c2
149d1687640
155ac508d89
hex36a043058

14663561304 has 128 divisors (see below), whose sum is σ = 42796615680. Its totient is φ = 4099929600.

The previous prime is 14663561281. The next prime is 14663561309. The reversal of 14663561304 is 40316536641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14663561309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3835714 + ... + 3839534.

It is an arithmetic number, because the mean of its divisors is an integer number (334348560).

Almost surely, 214663561304 is an apocalyptic number.

14663561304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14663561304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398307840).

14663561304 is an abundant number, since it is smaller than the sum of its proper divisors (28133054376).

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

14663561304 is a wasteful number, since it uses less digits than its factorization.

14663561304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 14663561304 in words is "fourteen billion, six hundred sixty-three million, five hundred sixty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 431 636 742 862 1113 1272 1293 1484 1724 2226 2586 2968 3017 3448 3821 4452 5172 6034 7642 8904 9051 10344 11463 12068 15284 18102 22843 22926 24136 26747 30568 36204 45686 45852 53494 68529 72408 80241 91372 91704 106988 137058 159901 160482 182744 202513 213976 274116 319802 320964 405026 479703 548232 607539 639604 641928 810052 959406 1215078 1279208 1417591 1620104 1646851 1918812 2430156 2835182 3293702 3837624 4252773 4860312 4940553 5670364 6587404 8505546 9881106 11340728 11527957 13174808 17011092 19762212 23055914 34022184 34583871 39524424 46111828 69167742 87283103 92223656 138335484 174566206 261849309 276670968 349132412 523698618 610981721 698264824 1047397236 1221963442 1832945163 2094794472 2443926884 3665890326 4887853768 7331780652 14663561304