Search a number
-
+
171829309242 = 23174161739227
BaseRepresentation
bin1010000000000111010…
…0110010111100111010
3121102112002011022122110
42200001310302330322
510303401300343432
6210534242233150
715262043013153
oct2400164627472
9542462138573
10171829309242
1166966190298
12293753557b6
1313284c398a6
1484609bc92a
15470a242dcc
hex2801d32f3a

171829309242 has 128 divisors (see below), whose sum is σ = 384090916608. Its totient is φ = 51016089600.

The previous prime is 171829309231. The next prime is 171829309273. The reversal of 171829309242 is 242903928171.

It is a super-2 number, since 2×1718293092422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 171829309191 and 171829309200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18617833 + ... + 18627059.

It is an arithmetic number, because the mean of its divisors is an integer number (3000710286).

Almost surely, 2171829309242 is an apocalyptic number.

171829309242 is an abundant number, since it is smaller than the sum of its proper divisors (212261607366).

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

171829309242 is a wasteful number, since it uses less digits than its factorization.

171829309242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424.

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 171829309242 in words is "one hundred seventy-one billion, eight hundred twenty-nine million, three hundred nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 17 34 41 51 61 73 82 102 122 123 146 183 219 246 366 438 697 1037 1241 1394 2074 2091 2482 2501 2993 3111 3723 4182 4453 5002 5986 6222 7446 7503 8906 8979 9227 13359 15006 17958 18454 26718 27681 42517 50881 55362 75701 85034 101762 127551 151402 152643 156859 182573 227103 255102 305286 313718 365146 378307 454206 470577 547719 562847 673571 756614 941154 1095438 1125694 1134921 1347142 1688541 2020713 2269842 3103741 3377082 4041426 6207482 6431219 9311223 9568399 11450707 12862438 18622446 19136798 19293657 22901414 23076727 27616411 28705197 34352121 38587314 41087831 46153454 55232822 57410394 68704242 69230181 82175662 82849233 123263493 138460362 165698466 246526986 392304359 469478987 698493127 784608718 938957974 1176913077 1396986254 1408436961 1684601071 2095479381 2353826154 2816873922 3369202142 4190958762 5053803213 10107606426 28638218207 57276436414 85914654621 171829309242