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6809247744 = 21331321313
BaseRepresentation
bin1100101011101110…
…01110000000000000
3122120112210121212220
412111313032000000
5102421131411434
63043401451040
7330511436145
oct62567160000
918515717786
106809247744
112984708682
1213a04a0a80
13846938ca0
144884a43cc
1529cbd9d49
hex195dce000

6809247744 has 112 divisors (see below), whose sum is σ = 19554486672. Its totient is φ = 2095054848.

The previous prime is 6809247691. The next prime is 6809247799. The reversal of 6809247744 is 4477429086.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 308832 + ... + 330144.

It is an arithmetic number, because the mean of its divisors is an integer number (174593631).

Almost surely, 26809247744 is an apocalyptic number.

6809247744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6809247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777243336).

6809247744 is an abundant number, since it is smaller than the sum of its proper divisors (12745238928).

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

6809247744 is a wasteful number, since it uses less digits than its factorization.

6809247744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21355 (or 21331 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 6809247744 is about 82518.1661454010. The cubic root of 6809247744 is about 1895.3949180994.

The spelling of 6809247744 in words is "six billion, eight hundred nine million, two hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9984 12288 13312 19968 21313 24576 26624 39936 42626 53248 63939 79872 85252 106496 127878 159744 170504 255756 277069 319488 341008 511512 554138 682016 831207 1023024 1108276 1364032 1662414 2046048 2216552 2728064 3324828 4092096 4433104 5456128 6649656 8184192 8866208 10912256 13299312 16368384 17732416 21824512 26598624 32736768 35464832 43649024 53197248 65473536 70929664 87298048 106394496 130947072 141859328 174596096 212788992 261894144 283718656 425577984 523788288 567437312 851155968 1134874624 1702311936 2269749248 3404623872 6809247744