Search a number
-
+
6831357012 = 2232434943633
BaseRepresentation
bin1100101110010111…
…00011110001010100
3122122002101220002200
412113023203301110
5102442311411022
63045511404500
7331200401514
oct62713436124
918562356080
106831357012
1129961396a7
1213a7983730
1384b3aa4ac
1448b3bb844
1529eb05bac
hex1972e3c54

6831357012 has 36 divisors (see below), whose sum is σ = 17272518900. Its totient is φ = 2276543232.

The previous prime is 6831357011. The next prime is 6831357019. The reversal of 6831357012 is 2107531386.

6831357012 is a `hidden beast` number, since 6 + 83 + 1 + 3 + 570 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3011375376 + 3819981636 = 54876^2 + 61806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6831357011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134748 + ... + 178380.

Almost surely, 26831357012 is an apocalyptic number.

It is an amenable number.

6831357012 is an abundant number, since it is smaller than the sum of its proper divisors (10441161888).

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

6831357012 is a wasteful number, since it uses less digits than its factorization.

6831357012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47992 (or 47987 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6831357012 is about 82652.0236412878. The cubic root of 6831357012 is about 1897.4441175666. Note that the first 3 decimals are identical.

Adding to 6831357012 its reverse (2107531386), we get a palindrome (8938888398).

The spelling of 6831357012 in words is "six billion, eight hundred thirty-one million, three hundred fifty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 4349 8698 13047 17396 26094 39141 43633 52188 78282 87266 130899 156564 174532 261798 392697 523596 785394 1570788 189759917 379519834 569279751 759039668 1138559502 1707839253 2277119004 3415678506 6831357012