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536504661 = 337111511709
BaseRepresentation
bin11111111110100…
…110100101010101
31101101112021001000
4133332212211111
52044321122121
6125123053513
716203133350
oct3776464525
91341467030
10536504661
1125592a990
1212b811299
13871c69a4
1451379297
1532179526
hex1ffa6955

536504661 has 64 divisors (see below), whose sum is σ = 998092800. Its totient is φ = 276696000.

The previous prime is 536504651. The next prime is 536504713. The reversal of 536504661 is 166405635.

It is not a de Polignac number, because 536504661 - 219 = 535980373 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536504621) 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 63 ways as a sum of consecutive naturals, for example, 313075 + ... + 314783.

It is an arithmetic number, because the mean of its divisors is an integer number (15595200).

Almost surely, 2536504661 is an apocalyptic number.

It is an amenable number.

536504661 is a deficient number, since it is larger than the sum of its proper divisors (461588139).

536504661 is a wasteful number, since it uses less digits than its factorization.

536504661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 536504661 is about 23162.5702589328. The cubic root of 536504661 is about 812.5644785437.

It can be divided in two parts, 53650 and 4661, that added together give a triangular number (58311 = T341).

The spelling of 536504661 in words is "five hundred thirty-six million, five hundred four thousand, six hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 151 189 231 297 453 693 1057 1359 1661 1709 2079 3171 4077 4983 5127 9513 11627 11963 14949 15381 18799 28539 34881 35889 44847 46143 56397 104643 107667 131593 169191 258059 313929 323001 394779 507573 774177 1184337 1806413 2322531 2838649 3553011 5419239 6967593 8515947 16257717 19870543 25547841 48773151 59611629 76643523 178834887 536504661