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1812642166336 = 261682932
BaseRepresentation
bin11010011000001001111…
…001000111011001000000
320102021202011000202102111
4122120021321013121000
5214144242343310321
63504414420225104
7244646651123611
oct32301171073100
96367664022374
101812642166336
1163981227a341
1225337623b194
13101c1544a1c1
1463a377cbc08
153223e8755e1
hex1a609e47640

1812642166336 has 21 divisors (see below), whose sum is σ = 3596983172161. Its totient is φ = 906315697792.

The previous prime is 1812642166267. The next prime is 1812642166373. The reversal of 1812642166336 is 6336612462181.

The square root of 1812642166336 is 1346344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 563040129600 + 1249602036736 = 750360^2 + 1117856^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1812642166336.

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 2 ways as a sum of consecutive naturals, for example, 10686606 + ... + 10854898.

Almost surely, 21812642166336 is an apocalyptic number.

1812642166336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1812642166336 is the 1346344-th square number.

It is an amenable number.

1812642166336 is a deficient number, since it is larger than the sum of its proper divisors (1784341005825).

1812642166336 is an frugal number, since it uses more digits than its factorization.

1812642166336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336598 (or 168295 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

Multiplying 1812642166336 by its sum of digits (49), we get a square (88819466150464 = 94244082).

The spelling of 1812642166336 in words is "one trillion, eight hundred twelve billion, six hundred forty-two million, one hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 168293 336586 673172 1346344 2692688 5385376 10770752 28322533849 56645067698 113290135396 226580270792 453160541584 906321083168 1812642166336