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6831873816 = 233231031071123
BaseRepresentation
bin1100101110011011…
…00001111100011000
3122122010101011000120
412113031201330120
5102442424430231
63045530433240
7331204653315
oct62715417430
918563334016
106831873816
112996461a09
1213a7b92820
1384b52b7b1
1448b4b3d0c
1529eba8d96
hex197361f18

6831873816 has 128 divisors (see below), whose sum is σ = 18179665920. Its totient is φ = 2135067264.

The previous prime is 6831873761. The next prime is 6831873817. The reversal of 6831873816 is 6183781386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6831873817) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6083031 + ... + 6084153.

It is an arithmetic number, because the mean of its divisors is an integer number (142028640).

Almost surely, 26831873816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6831873816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089832960).

6831873816 is an abundant number, since it is smaller than the sum of its proper divisors (11347792104).

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

6831873816 is a wasteful number, since it uses less digits than its factorization.

6831873816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 6831873816 is about 82655.1499665931. The cubic root of 6831873816 is about 1897.4919646723.

The spelling of 6831873816 in words is "six billion, eight hundred thirty-one million, eight hundred seventy-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 103 107 138 184 206 214 276 309 321 412 428 552 618 642 824 856 1123 1236 1284 2246 2369 2461 2472 2568 3369 4492 4738 4922 6738 7107 7383 8984 9476 9844 11021 13476 14214 14766 18952 19688 22042 25829 26952 28428 29532 33063 44084 51658 56856 59064 66126 77487 88168 103316 115669 120161 132252 154974 206632 231338 240322 253483 264504 309948 347007 360483 462676 480644 506966 619896 694014 720966 760449 925352 961288 1013932 1388028 1441932 1520898 2027864 2660387 2763703 2776056 2883864 3041796 5320774 5527406 6083592 7981161 8291109 10641548 11054812 12376583 15962322 16582218 21283096 22109624 24753166 31924644 33164436 37129749 49506332 63849288 66328872 74259498 99012664 148518996 284661409 297037992 569322818 853984227 1138645636 1707968454 2277291272 3415936908 6831873816