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434243827746 = 23224124657097
BaseRepresentation
bin1100101000110101111…
…00101111100000100010
31112111212012101001121100
412110122330233200202
524103312404441441
6531253332135230
743241652430341
oct6243274574042
91474765331540
10434243827746
11158186357a93
12701ab467516
1331c44cb6001
14170360b1b58
15b467daccb6
hex651af2f822

434243827746 has 12 divisors (see below), whose sum is σ = 940861626822. Its totient is φ = 144747942576.

The previous prime is 434243827733. The next prime is 434243827747. The reversal of 434243827746 is 647728342434.

434243827746 is a `hidden beast` number, since 434 + 24 + 3 + 82 + 77 + 46 = 666.

It can be written as a sum of positive squares in only one way, i.e., 282716587521 + 151527240225 = 531711^2 + 389265^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 434243827692 and 434243827701.

It is not an unprimeable number, because it can be changed into a prime (434243827747) 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 5 ways as a sum of consecutive naturals, for example, 12062328531 + ... + 12062328566.

Almost surely, 2434243827746 is an apocalyptic number.

434243827746 is an abundant number, since it is smaller than the sum of its proper divisors (506617799076).

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

434243827746 is a wasteful number, since it uses less digits than its factorization.

434243827746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24124657105 (or 24124657102 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 54.

The spelling of 434243827746 in words is "four hundred thirty-four billion, two hundred forty-three million, eight hundred twenty-seven thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 24124657097 48249314194 72373971291 144747942582 217121913873 434243827746