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6561041445 = 335723792617
BaseRepresentation
bin1100001110001000…
…11000110000100101
3121221020202102212000
412013010120300211
5101414111311240
63003013515513
7321405634500
oct60704306045
917836672760
106561041445
11286759a602
121331342b99
138073a3b5a
14463534137
1528600c430
hex187118c25

6561041445 has 96 divisors (see below), whose sum is σ = 13609411200. Its totient is φ = 2990276352.

The previous prime is 6561041423. The next prime is 6561041447. The reversal of 6561041445 is 5441401656.

It is not a de Polignac number, because 6561041445 - 28 = 6561041189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561041447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2505777 + ... + 2508393.

It is an arithmetic number, because the mean of its divisors is an integer number (141764700).

Almost surely, 26561041445 is an apocalyptic number.

It is an amenable number.

6561041445 is an abundant number, since it is smaller than the sum of its proper divisors (7048369755).

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

6561041445 is a wasteful number, since it uses less digits than its factorization.

6561041445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6561041445 is about 81000.2558329293. The cubic root of 6561041445 is about 1872.0793826257.

The spelling of 6561041445 in words is "six billion, five hundred sixty-one million, forty-one thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 379 441 735 945 1137 1323 1895 2205 2617 2653 3411 5685 6615 7851 7959 10233 13085 13265 17055 18319 18571 23553 23877 39255 39795 51165 54957 55713 70659 71631 91595 92855 117765 119385 128233 164871 167139 274785 278565 353295 358155 384699 494613 501417 641165 824355 835695 991843 1154097 1923495 2473065 2507085 2975529 3462291 4959215 5770485 6942901 8926587 14877645 17311455 20828703 26779761 34714505 44632935 48600307 62486109 104143515 133898805 145800921 187458327 243001535 312430545 437402763 729004605 937291635 1312208289 2187013815 6561041445