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9005813685 = 345112021507
BaseRepresentation
bin10000110001100100…
…11100111110110101
3212020122000201220000
420120302130332311
5121420442014220
64045345501513
7436113103401
oct103062347665
925218021800
109005813685
113901602130
1218b4041899
13b06a3754b
146160ca101
1537a979390
hex218c9cfb5

9005813685 has 40 divisors (see below), whose sum is σ = 17611377696. Its totient is φ = 4366452960.

The previous prime is 9005813683. The next prime is 9005813693. The reversal of 9005813685 is 5863185009.

9005813685 is a `hidden beast` number, since 9 + 0 + 0 + 581 + 3 + 68 + 5 = 666.

It is not a de Polignac number, because 9005813685 - 21 = 9005813683 is a prime.

It is a super-2 number, since 2×90058136852 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 9005813685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005813683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1006299 + ... + 1015208.

Almost surely, 29005813685 is an apocalyptic number.

It is an amenable number.

9005813685 is a deficient number, since it is larger than the sum of its proper divisors (8605564011).

9005813685 is a wasteful number, since it uses less digits than its factorization.

9005813685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021535 (or 2021526 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 9005813685 is about 94898.9656687574. The cubic root of 9005813685 is about 2080.5316137623.

The spelling of 9005813685 in words is "nine billion, five million, eight hundred thirteen thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 1485 4455 2021507 6064521 10107535 18193563 22236577 30322605 54580689 66709731 90967815 111182885 163742067 200129193 272903445 333548655 600387579 818710335 1000645965 1801162737 3001937895 9005813685