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20413142354336 = 251137493375337
BaseRepresentation
bin1001010010000110011100…
…00110010100100110100000
32200021110212222200122112212
410221003032012110212200
510133422103420314321
6111225400152341252
74204541461054514
oct451031606244640
980243788618485
1020413142354336
11656018a7647a6
1223582540a4828
13b50c496468b4
14508003a44144
15255ed545055b
hex1290ce1949a0

20413142354336 has 48 divisors (see below), whose sum is σ = 40545102583944. Its totient is φ = 10115978256384.

The previous prime is 20413142354303. The next prime is 20413142354369. The reversal of 20413142354336 is 63345324131402.

It is an interprime number because it is at equal distance from previous prime (20413142354303) and next prime (20413142354369).

It can be written as a sum of positive squares in 4 ways, for example, as 10966985982736 + 9446156371600 = 3311644^2 + 3073460^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20413142354293 and 20413142354302.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 270920060 + ... + 270995396.

Almost surely, 220413142354336 is an apocalyptic number.

It is an amenable number.

20413142354336 is a deficient number, since it is larger than the sum of its proper divisors (20131960229608).

20413142354336 is a wasteful number, since it uses less digits than its factorization.

20413142354336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150393 (or 150385 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

Adding to 20413142354336 its reverse (63345324131402), we get a palindrome (83758466485738).

The spelling of 20413142354336 in words is "twenty trillion, four hundred thirteen billion, one hundred forty-two million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 113 226 452 904 1808 3616 74933 75337 149866 150674 299732 301348 599464 602696 1198928 1205392 2397856 2410784 8467429 8513081 16934858 17026162 33869716 34052324 67739432 68104648 135478864 136209296 270957728 272418592 5645227421 11290454842 22580909684 45161819368 90323638736 180647277472 637910698573 1275821397146 2551642794292 5103285588584 10206571177168 20413142354336