Search a number
-
+
800133131812 = 22728945868673
BaseRepresentation
bin10111010010010111010…
…01101010111000100100
32211111021122122112111111
423221023221222320210
5101102133040204222
61411324233514404
7111544021255300
oct13511351527044
92744248575444
10800133131812
11289375325693
1210b0a2b72a04
135a5b57207b1
142aa25cdcd00
1515c2ed3d777
hexba4ba6ae24

800133131812 has 36 divisors (see below), whose sum is σ = 1647144083340. Its totient is φ = 339061223424.

The previous prime is 800133131741. The next prime is 800133131827. The reversal of 800133131812 is 218131331008.

800133131812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 355092042816 + 445041088996 = 595896^2 + 667114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22916893 + ... + 22951780.

It is an arithmetic number, because the mean of its divisors is an integer number (45754002315).

Almost surely, 2800133131812 is an apocalyptic number.

It is an amenable number.

800133131812 is an abundant number, since it is smaller than the sum of its proper divisors (847010951528).

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

800133131812 is a wasteful number, since it uses less digits than its factorization.

800133131812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45868780 (or 45868771 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 800133131812 in words is "eight hundred billion, one hundred thirty-three million, one hundred thirty-one thousand, eight hundred twelve".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 2492 4361 8722 17444 45868673 91737346 183474692 321080711 642161422 1284322844 2247564977 4082311897 4495129954 8164623794 8990259908 16329247588 28576183279 57152366558 114304733116 200033282953 400066565906 800133131812