Search a number
-
+
6734171844 = 2234472972
BaseRepresentation
bin1100100010110001…
…10100111011000100
3122101022112101010000
412101120310323010
5102242421444334
63032120401300
7325610342031
oct62130647304
918338471100
106734171844
11294629aa84
12137b316230
13834210c8a
1447c520388
1529630a299
hex191634ec4

6734171844 has 135 divisors (see below), whose sum is σ = 18174332253. Its totient is φ = 2174314752.

The previous prime is 6734171831. The next prime is 6734171893. The reversal of 6734171844 is 4481714376.

The square root of 6734171844 is 82062.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3023900100 + 3710271744 = 54990^2 + 60912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6734171844.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 69424404 + ... + 69424500.

Almost surely, 26734171844 is an apocalyptic number.

6734171844 is the 82062-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6734171844

6734171844 is an abundant number, since it is smaller than the sum of its proper divisors (11440160409).

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

6734171844 is an equidigital number, since it uses as much as digits as its factorization.

6734171844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 149 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The cubic root of 6734171844 is about 1888.4032167051.

The spelling of 6734171844 in words is "six billion, seven hundred thirty-four million, one hundred seventy-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 97 108 141 162 188 194 282 291 324 388 423 564 582 846 873 1164 1269 1692 1746 2209 2538 2619 3492 3807 4418 4559 5076 5238 6627 7614 7857 8836 9118 9409 10476 13254 13677 15228 15714 18236 18818 19881 26508 27354 28227 31428 37636 39762 41031 54708 56454 59643 79524 82062 84681 112908 119286 123093 164124 169362 178929 214273 238572 246186 254043 338724 357858 369279 428546 442223 492372 508086 642819 715716 738558 762129 857092 884446 1016172 1285638 1326669 1477116 1524258 1768892 1928457 2571276 2653338 3048516 3856914 3980007 5306676 5785371 7713828 7960014 11570742 11940021 15920028 17356113 20784481 23141484 23880042 34712226 35820063 41568962 47760084 62353443 69424452 71640126 83137924 124706886 143280252 187060329 249413772 374120658 561180987 748241316 1122361974 1683542961 2244723948 3367085922 6734171844