Search a number
-
+
808961472288 = 2532529992
BaseRepresentation
bin10111100010110011101…
…11000111011100100000
32212100001220201200220200
423301121313013130200
5101223223114103123
61415344243505200
7112305551026254
oct13613167073440
92770056650820
10808961472288
11292095730542
12110947688200
135b39175a2b8
142b2225cc264
1516099e0d143
hexbc59dc7720

808961472288 has 54 divisors (see below), whose sum is σ = 2300527593819. Its totient is φ = 269648736192.

The previous prime is 808961472257. The next prime is 808961472311. The reversal of 808961472288 is 882274169808.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

808961472288 is a `hidden beast` number, since 8 + 0 + 8 + 9 + 614 + 7 + 2 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 404480736144 + 404480736144 = 635988^2 + 635988^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=635988.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15237213 + ... + 15290211.

Almost surely, 2808961472288 is an apocalyptic number.

It is an amenable number.

808961472288 is an abundant number, since it is smaller than the sum of its proper divisors (1491566121531).

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

808961472288 is an frugal number, since it uses more digits than its factorization.

808961472288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106014 (or 53004 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 808961472288 in words is "eight hundred eight billion, nine hundred sixty-one million, four hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 52999 105998 158997 211996 317994 423992 476991 635988 847984 953982 1271976 1695968 1907964 2543952 3815928 5087904 7631856 15263712 2808894001 5617788002 8426682003 11235576004 16853364006 22471152008 25280046009 33706728012 44942304016 50560092018 67413456024 89884608032 101120184036 134826912048 202240368072 269653824096 404480736144 808961472288