Search a number
-
+
6800115344 = 2411291976763
BaseRepresentation
bin1100101010101000…
…11000011010010000
3122112220121122120212
412111110120122100
5102411312142334
63042434023252
7330341012111
oct62524303220
918486548525
106800115344
11297a540340
121399417b28
13844a8c2b9
144871a8208
1529bed3ece
hex195518690

6800115344 has 80 divisors (see below), whose sum is σ = 14946275520. Its totient is φ = 2968788480.

The previous prime is 6800115341. The next prime is 6800115349. The reversal of 6800115344 is 4435110086.

It is a self number, because there is not a number n which added to its sum of digits gives 6800115344.

It is not an unprimeable number, because it can be changed into a prime (6800115341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002107 + ... + 1008869.

It is an arithmetic number, because the mean of its divisors is an integer number (186828444).

Almost surely, 26800115344 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 6800115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473137760).

6800115344 is an abundant number, since it is smaller than the sum of its proper divisors (8146160176).

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

6800115344 is a wasteful number, since it uses less digits than its factorization.

6800115344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 6800115344 is about 82462.8118851158. The cubic root of 6800115344 is about 1894.5471862434.

The spelling of 6800115344 in words is "six billion, eight hundred million, one hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 197 232 319 394 464 638 788 1276 1576 2167 2552 3152 4334 5104 5713 6763 8668 11426 13526 17336 22852 27052 34672 45704 54104 62843 74393 91408 108208 125686 148786 196127 251372 297572 392254 502744 595144 784508 1005488 1190288 1332311 1569016 2157397 2664622 3138032 4314794 5329244 8629588 10658488 14655421 17259176 21316976 29310842 34518352 38637019 58621684 77274038 117243368 154548076 234486736 309096152 425007209 618192304 850014418 1700028836 3400057672 6800115344