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813146064 = 24316940543
BaseRepresentation
bin110000011101111…
…001111111010000
32002200002002200220
4300131321333100
53131131133224
6212404313040
726102425143
oct6035717720
92080062626
10813146064
11387aaa745
121a83a2780
13cc606723
1479dcc05a
154b5c2279
hex30779fd0

813146064 has 20 divisors (see below), whose sum is σ = 2100627456. Its totient is φ = 271048672.

The previous prime is 813146063. The next prime is 813146123. The reversal of 813146064 is 460641318.

It is a super-2 number, since 2×8131460642 = 1322413042797384192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813146063) 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 3 ways as a sum of consecutive naturals, for example, 8470224 + ... + 8470319.

Almost surely, 2813146064 is an apocalyptic number.

It is an amenable number.

813146064 is an abundant number, since it is smaller than the sum of its proper divisors (1287481392).

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

813146064 is a wasteful number, since it uses less digits than its factorization.

813146064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16940554 (or 16940548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 813146064 is about 28515.7160877997. The cubic root of 813146064 is about 933.3750509698.

It can be divided in two parts, 81314 and 6064, that added together give a palindrome (87378).

The spelling of 813146064 in words is "eight hundred thirteen million, one hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 16940543 33881086 50821629 67762172 101643258 135524344 203286516 271048688 406573032 813146064