Search a number
-
+
6783612381 = 347213731801
BaseRepresentation
bin1100101000101010…
…11011010111011101
3122111202120012210000
412110111123113131
5102343101044011
63041044204513
7330050516400
oct62425332735
918452505700
106783612381
112971199427
121393999739
13841531830
14484d0dd37
1529a824356
hex19455b5dd

6783612381 has 120 divisors (see below), whose sum is σ = 12875816184. Its totient is φ = 3527193600.

The previous prime is 6783612377. The next prime is 6783612397. The reversal of 6783612381 is 1832163876.

6783612381 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3572100 + 6780040281 = 1890^2 + 82341^2 .

It is not a de Polignac number, because 6783612381 - 22 = 6783612377 is a prime.

It is a super-2 number, since 2×67836123812 = 92034793871312978322, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6783612281) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 3765681 + ... + 3767481.

Almost surely, 26783612381 is an apocalyptic number.

It is an amenable number.

6783612381 is a deficient number, since it is larger than the sum of its proper divisors (6092203803).

6783612381 is a wasteful number, since it uses less digits than its factorization.

6783612381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1897 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 6783612381 is about 82362.6880389415. The cubic root of 6783612381 is about 1893.0133412428.

The spelling of 6783612381 in words is "six billion, seven hundred eighty-three million, six hundred twelve thousand, three hundred eighty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 73 81 91 117 147 189 219 273 351 441 511 567 637 657 819 949 1053 1323 1533 1801 1911 1971 2457 2847 3577 3969 4599 5403 5733 5913 6643 7371 8541 10731 12607 13797 16209 17199 19929 23413 25623 32193 37821 41391 46501 48627 51597 59787 70239 76869 88249 96579 113463 131473 139503 145881 163891 179361 210717 264747 289737 340389 394419 418509 491673 538083 632151 794241 920311 1021167 1147237 1183257 1255527 1475019 1709149 1896453 2382723 2760933 3441711 3549771 3766581 4425057 5127447 6442177 7148169 8282799 10325133 10649313 11964043 13275171 15382341 19326531 24848397 30975399 35892129 46147023 57979593 74545191 83748301 92926197 107676387 138441069 173938779 251244903 323029161 521816337 753734709 969087483 2261204127 6783612381