Search a number
-
+
891343343198 = 27111031312511709
BaseRepresentation
bin11001111100010000011…
…01000000111001011110
310011012201020202100112202
430332020031000321132
5104100432343440243
61521251045131502
7121253214260030
oct14761015007136
93135636670482
10891343343198
11314020097480
121248b90b9b92
13660901a1089
14311d9827c50
15182bc5714b8
hexcf88340e5e

891343343198 has 128 divisors (see below), whose sum is σ = 1703712890880. Its totient is φ = 339721200000.

The previous prime is 891343343173. The next prime is 891343343251.

891343343198 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8913433431982 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 521557568 + ... + 521559276.

It is an arithmetic number, because the mean of its divisors is an integer number (13310256960).

Almost surely, 2891343343198 is an apocalyptic number.

891343343198 is a deficient number, since it is larger than the sum of its proper divisors (812369547682).

891343343198 is a wasteful number, since it uses less digits than its factorization.

891343343198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214.

The product of its digits is 6718464, while the sum is 56.

The spelling of 891343343198 in words is "eight hundred ninety-one billion, three hundred forty-three million, three hundred forty-three thousand, one hundred ninety-eight".

Divisors: 1 2 7 11 14 22 77 103 131 154 206 251 262 502 721 917 1133 1441 1442 1709 1757 1834 2266 2761 2882 3418 3514 5522 7931 10087 11963 13493 15862 18799 19327 20174 23926 25853 26986 32881 37598 38654 51706 65762 94451 131593 148423 176027 180971 188902 223879 230167 263186 284383 296846 352054 361691 361942 428959 447758 460334 568766 723382 857918 1038961 1232189 1567153 1936297 1990681 2077922 2462669 2464378 2531837 3002713 3134306 3386743 3872594 3981362 4718549 4925338 5063674 6005426 6773486 9437098 13554079 17238683 23059537 23707201 27108158 33029843 34477366 37254173 44182777 46119074 47414402 56193629 66059686 74508346 88365554 112387258 161416759 253654907 260779211 309279439 322833518 393355403 486010547 507309814 521558422 618129919 618558878 786710806 972021094 1236259838 1775584349 3402073829 3551168698 4326909433 5787943787 6804147658 8653818866 11575887574 40515606509 63667381657 81031213018 127334763314 445671671599 891343343198