Search a number
-
+
8027123481 = 321382698297
BaseRepresentation
bin1110111100111010…
…00010111100011001
3202201102110010022200
413132131002330121
5112414420422411
63404305040413
7402630265236
oct73635027431
922642403280
108027123481
11344a113753
121680326109
139ac04ba10
1456212878d
1531eaa6e56
hex1de742f19

8027123481 has 24 divisors (see below), whose sum is σ = 12489651720. Its totient is φ = 4938575616.

The previous prime is 8027123453. The next prime is 8027123491. The reversal of 8027123481 is 1843217208.

8027123481 is a `hidden beast` number, since 80 + 271 + 234 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4093952256 + 3933171225 = 63984^2 + 62715^2 .

It is not a de Polignac number, because 8027123481 - 29 = 8027122969 is a prime.

It is a super-2 number, since 2×80271234812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8027123491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963325 + ... + 971621.

It is an arithmetic number, because the mean of its divisors is an integer number (520402155).

Almost surely, 28027123481 is an apocalyptic number.

It is an amenable number.

8027123481 is a deficient number, since it is larger than the sum of its proper divisors (4462528239).

8027123481 is a wasteful number, since it uses less digits than its factorization.

8027123481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16585 (or 16582 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8027123481 is about 89594.2156670842. The cubic root of 8027123481 is about 2002.2577404284.

The spelling of 8027123481 in words is "eight billion, twenty-seven million, one hundred twenty-three thousand, four hundred eighty-one".

Divisors: 1 3 9 13 39 117 8269 8297 24807 24891 74421 74673 107497 107861 322491 323583 967473 970749 68607893 205823679 617471037 891902609 2675707827 8027123481