Search a number
-
+
11448358008 = 233172310491163
BaseRepresentation
bin10101010100110000…
…00001010001111000
31002112212002211210120
422222120001101320
5141421234424013
65132002013240
7553462303023
oct125230012170
932485084716
1011448358008
1149453328aa
122276047220
131105a9ab49
147a86621ba
15470106123
hex2aa601478

11448358008 has 128 divisors (see below), whose sum is σ = 31679424000. Its totient is φ = 3429257216.

The previous prime is 11448358007. The next prime is 11448358037. The reversal of 11448358008 is 80085384411.

It is a Cunningham number, because it is equal to 1069972-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11448358003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9843235 + ... + 9844397.

It is an arithmetic number, because the mean of its divisors is an integer number (247495500).

Almost surely, 211448358008 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 11448358008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15839712000).

11448358008 is an abundant number, since it is smaller than the sum of its proper divisors (20231065992).

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

11448358008 is a wasteful number, since it uses less digits than its factorization.

11448358008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 11448358008 in words is "eleven billion, four hundred forty-eight million, three hundred fifty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1049 1163 1173 1564 2098 2326 2346 3128 3147 3489 4196 4652 4692 6294 6978 8392 9304 9384 12588 13956 17833 19771 24127 25176 26749 27912 35666 39542 48254 53498 53499 59313 71332 72381 79084 80247 96508 106996 106998 118626 142664 144762 158168 160494 193016 213992 213996 237252 289524 320988 410159 427992 454733 474504 579048 641976 820318 909466 1219987 1230477 1364199 1640636 1818932 2439974 2460954 2728398 3281272 3637864 3659961 4879948 4921908 5456796 7319922 9759896 9843816 10913592 14639844 20739779 28059701 29279688 41479558 56119402 62219337 82959116 84179103 112238804 124438674 165918232 168358206 224477608 248877348 336716412 477014917 497754696 673432824 954029834 1431044751 1908059668 2862089502 3816119336 5724179004 11448358008