Search a number
-
+
6807216336 = 243199776949
BaseRepresentation
bin1100101011011110…
…11110000011010000
3122120101222102022120
412111233132003100
5102420121410321
63043250134240
7330455245524
oct62557360320
918511872276
106807216336
112983550428
12139b881380
138463a747b
144880d5d84
1529c937ec6
hex195bde0d0

6807216336 has 80 divisors (see below), whose sum is σ = 18701928000. Its totient is φ = 2127458304.

The previous prime is 6807216331. The next prime is 6807216349. The reversal of 6807216336 is 6336127086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6807216331) 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 15 ways as a sum of consecutive naturals, for example, 49990 + ... + 126938.

It is an arithmetic number, because the mean of its divisors is an integer number (233774100).

Almost surely, 26807216336 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 6807216336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350964000).

6807216336 is an abundant number, since it is smaller than the sum of its proper divisors (11894711664).

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

6807216336 is a wasteful number, since it uses less digits than its factorization.

6807216336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77076 (or 77070 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6807216336 is about 82505.8563739569. The cubic root of 6807216336 is about 1895.2064144890.

The spelling of 6807216336 in words is "six billion, eight hundred seven million, two hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 152 194 228 291 304 388 456 582 776 912 1164 1552 1843 2328 3686 4656 5529 7372 11058 14744 22116 29488 44232 76949 88464 153898 230847 307796 461694 615592 923388 1231184 1462031 1846776 2924062 3693552 4386093 5848124 7464053 8772186 11696248 14928106 17544372 22392159 23392496 29856212 35088744 44784318 59712424 70177488 89568636 119424848 141817007 179137272 283634014 358274544 425451021 567268028 850902042 1134536056 1701804084 2269072112 3403608168 6807216336