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6768087328 = 251732293853
BaseRepresentation
bin1100100110110100…
…01101000100100000
3122110200100110102001
412103122031010200
5102330112243303
63035331333344
7326501536012
oct62332150440
918420313361
106768087328
112963455202
12138a751254
1383b257202
14482c2c1b2
152992a931d
hex19368d120

6768087328 has 48 divisors (see below), whose sum is σ = 14116508280. Its totient is φ = 3183169536.

The previous prime is 6768087301. The next prime is 6768087329. The reversal of 6768087328 is 8237808676.

It can be written as a sum of positive squares in 4 ways, for example, as 6768023824 + 63504 = 82268^2 + 252^2 .

It is not an unprimeable number, because it can be changed into a prime (6768087329) 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 7 ways as a sum of consecutive naturals, for example, 1754650 + ... + 1758502.

Almost surely, 26768087328 is an apocalyptic number.

6768087328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6768087328 is an abundant number, since it is smaller than the sum of its proper divisors (7348420952).

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

6768087328 is a wasteful number, since it uses less digits than its factorization.

6768087328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7109 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The square root of 6768087328 is about 82268.3859571828. The cubic root of 6768087328 is about 1891.5681141547.

The spelling of 6768087328 in words is "six billion, seven hundred sixty-eight million, eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 3229 3853 6458 7706 12916 15412 25832 30824 51664 54893 61648 65501 103328 109786 123296 131002 219572 262004 439144 524008 878288 1048016 1756576 2096032 12441337 24882674 49765348 99530696 199061392 211502729 398122784 423005458 846010916 1692021832 3384043664 6768087328