Search a number
-
+
6487730496 = 263213866417
BaseRepresentation
bin1100000101011001…
…01110100101000000
3121202010210212010200
412002230232211000
5101241324333441
62551434325200
7316525541112
oct60254564500
917663725120
106487730496
11282a177a45
121310889800
137c51462b0
144578cd3b2
1527e87a7b6
hex182b2e940

6487730496 has 84 divisors (see below), whose sum is σ = 20026385652. Its totient is φ = 1996222464.

The previous prime is 6487730423. The next prime is 6487730503. The reversal of 6487730496 is 6940377846.

It is a happy number.

6487730496 is a `hidden beast` number, since 6 + 4 + 87 + 73 + 0 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 844716096 + 5643014400 = 29064^2 + 75120^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 425721 + ... + 440696.

It is an arithmetic number, because the mean of its divisors is an integer number (238409353).

Almost surely, 26487730496 is an apocalyptic number.

It is an amenable number.

6487730496 is an abundant number, since it is smaller than the sum of its proper divisors (13538655156).

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

6487730496 is a wasteful number, since it uses less digits than its factorization.

6487730496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866448 (or 866435 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 6487730496 is about 80546.4493072165. The cubic root of 6487730496 is about 1865.0805808202.

The spelling of 6487730496 in words is "six billion, four hundred eighty-seven million, seven hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 866417 1732834 2599251 3465668 5198502 6931336 7797753 10397004 11263421 13862672 15595506 20794008 22526842 27725344 31191012 33790263 41588016 45053684 55450688 62382024 67580526 83176032 90107368 101370789 124764048 135161052 166352064 180214736 202741578 249528096 270322104 360429472 405483156 499056192 540644208 720858944 810966312 1081288416 1621932624 2162576832 3243865248 6487730496