Search a number
-
+
6793993976 = 2371131715011
BaseRepresentation
bin1100101001111010…
…00001111011111000
3122112111002122122112
412110331001323320
5102403230301401
63042054511452
7330234665420
oct62475017370
918474078575
106793993976
11297703a260
121397365588
13843727ca3
14486453480
1529b6c53bb
hex194f41ef8

6793993976 has 128 divisors (see below), whose sum is σ = 16628613120. Its totient is φ = 2525040000.

The previous prime is 6793993949. The next prime is 6793993991.

6793993976 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353311 + ... + 1358321.

It is an arithmetic number, because the mean of its divisors is an integer number (129911040).

Almost surely, 26793993976 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 6793993976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314306560).

6793993976 is an abundant number, since it is smaller than the sum of its proper divisors (9834619144).

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

6793993976 is a wasteful number, since it uses less digits than its factorization.

6793993976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5133 counting only the distinct ones).

The product of its digits is 104162436, while the sum is 68.

The square root of 6793993976 is about 82425.6875979812. The cubic root of 6793993976 is about 1893.9785340191.

The spelling of 6793993976 in words is "six billion, seven hundred ninety-three million, nine hundred ninety-three thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 71 77 88 124 142 154 217 248 284 308 341 434 497 568 616 682 781 868 994 1364 1562 1736 1988 2201 2387 2728 3124 3976 4402 4774 5011 5467 6248 8804 9548 10022 10934 15407 17608 19096 20044 21868 24211 30814 35077 40088 43736 48422 55121 61628 70154 96844 110242 123256 140308 155341 169477 193688 220484 280616 310682 338954 355781 385847 440968 621364 677908 711562 771694 1087387 1242728 1355816 1423124 1543388 1708751 2174774 2490467 2846248 3086776 3417502 3913591 4349548 4980934 6835004 7827182 8699096 9961868 11029211 11961257 13670008 15654364 19923736 22058422 23922514 27395137 31308728 44116844 47845028 54790274 77204477 88233688 95690056 109580548 121321321 154408954 219161096 242642642 308817908 485285284 617635816 849249247 970570568 1698498494 3396996988 6793993976