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105326364447 = 35433441829
BaseRepresentation
bin110001000010111110…
…0001100011100011111
3101001212101010200200000
41202011330030130133
53211202022130242
6120215233305343
710416041216553
oct1420574143437
9331771120600
10105326364447
1140739a94597
12184b5705253
139c1716a395
1451525d9863
152b16b5ba4c
hex1885f0c71f

105326364447 has 12 divisors (see below), whose sum is σ = 157772826120. Its totient is φ = 70217576136.

The previous prime is 105326364443. The next prime is 105326364457. The reversal of 105326364447 is 744463623501.

105326364447 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 636 + 4 + 4 + 4 + 7 = 666.

It is not a de Polignac number, because 105326364447 - 22 = 105326364443 is a prime.

It is a super-2 number, since 2×1053263644472 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105326364443) 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 11 ways as a sum of consecutive naturals, for example, 216720672 + ... + 216721157.

It is an arithmetic number, because the mean of its divisors is an integer number (13147735510).

Almost surely, 2105326364447 is an apocalyptic number.

105326364447 is a deficient number, since it is larger than the sum of its proper divisors (52446461673).

105326364447 is an frugal number, since it uses more digits than its factorization.

105326364447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433441844 (or 433441832 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 105326364447 its reverse (744463623501), we get a palindrome (849789987948).

The spelling of 105326364447 in words is "one hundred five billion, three hundred twenty-six million, three hundred sixty-four thousand, four hundred forty-seven".

Divisors: 1 3 9 27 81 243 433441829 1300325487 3900976461 11702929383 35108788149 105326364447