Search a number
-
+
6831683716 = 22112132174
BaseRepresentation
bin1100101110011001…
…10011100010000100
3122122010000111020211
412113030303202010
5102442402334331
63045522405204
7331203232144
oct62714634204
918563014224
106831683716
112996342100
1213a7b00804
1384b493100
1448b464924
1529eb6c8b1
hex197333884

6831683716 has 135 divisors (see below), whose sum is σ = 15119070393. Its totient is φ = 2697826560.

The previous prime is 6831683701. The next prime is 6831683779. The reversal of 6831683716 is 6173861386.

The square root of 6831683716 is 82654.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2083922500 + 4747761216 = 45650^2 + 68904^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6831683716.

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, 401863740 + ... + 401863756.

Almost surely, 26831683716 is an apocalyptic number.

6831683716 is the 82654-th square number.

It is an amenable number.

6831683716 is an abundant number, since it is smaller than the sum of its proper divisors (8287386677).

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

6831683716 is a wasteful number, since it uses less digits than its factorization.

6831683716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 43 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The cubic root of 6831683716 is about 1897.4743649831.

Multiplying 6831683716 by its sum of digits (49), we get a square (334752502084 = 5785782).

The spelling of 6831683716 in words is "six billion, eight hundred thirty-one million, six hundred eighty-three thousand, seven hundred sixteen".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 121 143 169 187 221 242 286 289 338 374 442 484 572 578 676 748 884 1156 1573 1859 2057 2431 2873 3146 3179 3718 3757 4114 4862 4913 5746 6292 6358 7436 7514 8228 9724 9826 11492 12716 15028 19652 20449 26741 31603 34969 40898 41327 48841 53482 54043 63206 63869 69938 81796 82654 83521 97682 106964 108086 126412 127738 139876 165308 167042 195364 216172 255476 334084 347633 454597 537251 594473 695266 702559 830297 909194 918731 1074502 1085773 1188946 1390532 1405118 1660594 1818388 1837462 2149004 2171546 2377892 2810236 3321188 3674924 4343092 5909761 7728149 9133267 10106041 11819522 11943503 14115049 15456298 18266534 20212082 23639044 23887006 28230098 30912596 36533068 40424164 47774012 56460196 100465937 131378533 155265539 200931874 262757066 310531078 401863748 525514132 621062156 1707920929 3415841858 6831683716