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66040124535 = 32571119059199
BaseRepresentation
bin111101100000010011…
…000101010001110111
320022110110010220221100
4331200103011101313
52040222232441120
650201033021143
74525351540140
oct754023052167
9208413126840
1066040124535
1126009a24020
12109708547b3
1362c5c34388
1432a6b48ac7
151ab7b64490
hexf604c5477

66040124535 has 48 divisors (see below), whose sum is σ = 142715289600. Its totient is φ = 27445245120.

The previous prime is 66040124461. The next prime is 66040124599. The reversal of 66040124535 is 53542104066.

66040124535 is a `hidden beast` number, since 6 + 6 + 0 + 401 + 245 + 3 + 5 = 666.

66040124535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66040124535 - 27 = 66040124407 is a prime.

It is a super-2 number, since 2×660401245352 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66040124535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9526135 + ... + 9533064.

It is an arithmetic number, because the mean of its divisors is an integer number (2973235200).

Almost surely, 266040124535 is an apocalyptic number.

66040124535 is an abundant number, since it is smaller than the sum of its proper divisors (76675165065).

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

66040124535 is a wasteful number, since it uses less digits than its factorization.

66040124535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19059228 (or 19059225 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 66040124535 in words is "sixty-six billion, forty million, one hundred twenty-four thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 19059199 57177597 95295995 133414393 171532791 209651189 285887985 400243179 628953567 667071965 857663955 1048255945 1200729537 1467558323 1886860701 2001215895 3144767835 4402674969 6003647685 7337791615 9434303505 13208024907 22013374845 66040124535