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9005422933 = 133759317327
BaseRepresentation
bin10000110001100001…
…11101100101010101
3212020121021212212201
420120300331211111
5121420342013213
64045333244501
7436106555233
oct103060754525
925217255781
109005422933
1139013655a1
1218b3a93731
13b0692b730
14616027953
1537a8ed6dd
hex218c3d955

9005422933 has 16 divisors (see below), whose sum is σ = 10129109760. Its totient is φ = 7950920256.

The previous prime is 9005422927. The next prime is 9005422949. The reversal of 9005422933 is 3392245009.

It is the 38742-nd star number.

It is a cyclic number.

It is not a de Polignac number, because 9005422933 - 213 = 9005414741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9005422892 and 9005422901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005422033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130285 + ... + 187042.

It is an arithmetic number, because the mean of its divisors is an integer number (633069360).

Almost surely, 29005422933 is an apocalyptic number.

It is an amenable number.

9005422933 is a deficient number, since it is larger than the sum of its proper divisors (1123686827).

9005422933 is a wasteful number, since it uses less digits than its factorization.

9005422933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317436.

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 9005422933 is about 94896.9068674001. The cubic root of 9005422933 is about 2080.5015226946.

The spelling of 9005422933 in words is "nine billion, five million, four hundred twenty-two thousand, nine hundred thirty-three".

Divisors: 1 13 37 59 481 767 2183 28379 317327 4125251 11741099 18722293 152634287 243389809 692724841 9005422933