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810494001441 = 3271217864489
BaseRepresentation
bin10111100101101010011…
…01010000000100100001
32212111000201110020200200
423302311031100010201
5101234342431021231
61420200311135413
7112361540225265
oct13626515200441
92774021406620
10810494001441
11292801809363
121110b4974569
135b5770cb797
142b329d5c0a5
1516139730be6
hexbcb5350121

810494001441 has 18 divisors (see below), whose sum is σ = 1187434785810. Its totient is φ = 532719032160.

The previous prime is 810494001419. The next prime is 810494001497. The reversal of 810494001441 is 144100494018.

810494001441 is a `hidden beast` number, since 8 + 104 + 9 + 400 + 144 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 566299895841 + 244194105600 = 752529^2 + 494160^2 .

It is not a de Polignac number, because 810494001441 - 27 = 810494001313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 810494001396 and 810494001405.

It is not an unprimeable number, because it can be changed into a prime (810494001341) 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 17 ways as a sum of consecutive naturals, for example, 8886876 + ... + 8977613.

Almost surely, 2810494001441 is an apocalyptic number.

It is an amenable number.

810494001441 is a deficient number, since it is larger than the sum of its proper divisors (376940784369).

810494001441 is a wasteful number, since it uses less digits than its factorization.

810494001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17864637 (or 17864563 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 810494001441 its reverse (144100494018), we get a palindrome (954594495459).

The spelling of 810494001441 in words is "eight hundred ten billion, four hundred ninety-four million, one thousand, four hundred forty-one".

Divisors: 1 3 9 71 213 639 5041 15123 45369 17864489 53593467 160780401 1268378719 3805136157 11415408471 90054889049 270164667147 810494001441