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9056226509 = 1131101262949
BaseRepresentation
bin10000110111100101…
…10000110011001101
3212101010212222021122
420123302300303031
5122021343222014
64054350210325
7440264440511
oct103362606315
925333788248
109056226509
113928005020
121908ab39a5
13b14308815
1461ca90141
153800d658e
hex21bcb0ccd

9056226509 has 16 divisors (see below), whose sum is σ = 10299225600. Its totient is φ = 7888440000.

The previous prime is 9056226499. The next prime is 9056226559.

9056226509 is nontrivially palindromic in base 10.

9056226509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9056226509 is a prime.

It is a super-3 number, since 3×90562265093 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9056226509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9056226559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97034 + ... + 165915.

It is an arithmetic number, because the mean of its divisors is an integer number (643701600).

Almost surely, 29056226509 is an apocalyptic number.

It is an amenable number.

9056226509 is a deficient number, since it is larger than the sum of its proper divisors (1242999091).

9056226509 is a wasteful number, since it uses less digits than its factorization.

9056226509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263092.

The product of its (nonzero) digits is 291600, while the sum is 44.

The square root of 9056226509 is about 95164.2081299477. The cubic root of 9056226509 is about 2084.4065318427.

The spelling of 9056226509 in words is "nine billion, fifty-six million, two hundred twenty-six thousand, five hundred nine".

Divisors: 1 11 31 101 341 1111 3131 34441 262949 2892439 8151419 26557849 89665609 292136339 823293319 9056226509