Search a number
-
+
12568679483097 = 31767103167281761
BaseRepresentation
bin1011011011100101111110…
…1011010000011011011001
31122111112221212212001021010
42312321133223100123121
53121411123421424342
642421545513004133
72435025410610123
oct266713753203331
948445855761233
1012568679483097
11400638a9a3491
1214aba893b3649
137022b551554a
143164822b6213
1516be1827029c
hexb6e5fad06d9

12568679483097 has 128 divisors (see below), whose sum is σ = 18381803102208. Its totient is φ = 7609809715200.

The previous prime is 12568679483093. The next prime is 12568679483111. The reversal of 12568679483097 is 79038497686521.

It is not a de Polignac number, because 12568679483097 - 22 = 12568679483093 is a prime.

It is a super-2 number, since 2×125686794830972 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12568679483093) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16516004197 + ... + 16516004957.

It is an arithmetic number, because the mean of its divisors is an integer number (143607836736).

It is a 1-persistent number, because it is pandigital, but 2⋅12568679483097 = 25137358966194 is not.

Almost surely, 212568679483097 is an apocalyptic number.

12568679483097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12568679483097 is a deficient number, since it is larger than the sum of its proper divisors (5813123619111).

12568679483097 is a wasteful number, since it uses less digits than its factorization.

12568679483097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399.

The product of its (nonzero) digits is 1097349120, while the sum is 75.

The spelling of 12568679483097 in words is "twelve trillion, five hundred sixty-eight billion, six hundred seventy-nine million, four hundred eighty-three thousand, ninety-seven".

Divisors: 1 3 17 51 67 103 167 201 281 309 501 761 843 1139 1751 2283 2839 3417 4777 5253 6901 8517 11189 12937 14331 17201 18827 20703 28943 33567 38811 46927 50987 51603 56481 78383 86829 117317 127087 140781 152961 190213 213841 235149 292417 320059 351951 381261 492031 570639 641523 797759 866779 877251 960177 1152467 1332511 1476093 1939181 2160479 2393277 2600337 3144109 3457401 3635297 3997533 4833481 5251661 5817543 6481437 8514829 9432327 10905891 13089961 14327347 14500443 15754983 19591939 22025623 25544487 32966077 35711447 39269883 42982041 53449853 58775817 66076869 82169177 89278237 98898231 107134341 144752093 160349559 222529337 243564899 246507531 267834711 323843227 374435591 434256279 607094599 667588011 730694697 877027387 971529681 1123306773 1475716741 1821283797 2392666949 2631082161 3678279041 4427150223 5505334859 7178000847 11034837123 14909465579 16516004577 25087184597 40675338133 44728396737 62530743697 75261553791 122026014399 187592231091 246444695747 739334087241 4189559827699 12568679483097