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11164132005 = 35131910332917
BaseRepresentation
bin10100110010110111…
…10010001010100101
31001211001021200000120
422121123302022211
5140331004211010
65043450032153
7543441361545
oct123133621245
931731250016
1011164132005
114809952684
1221b6a18659
13108bc33a90
1477c9d7325
154551b0e70
hex2996f22a5

11164132005 has 64 divisors (see below), whose sum is σ = 20275664640. Its totient is φ = 5200091136.

The previous prime is 11164132003. The next prime is 11164132009. The reversal of 11164132005 is 50023146111.

It is a happy number.

11164132005 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 11164132005 - 21 = 11164132003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11164132003) 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 63 ways as a sum of consecutive naturals, for example, 3825807 + ... + 3828723.

It is an arithmetic number, because the mean of its divisors is an integer number (316807260).

Almost surely, 211164132005 is an apocalyptic number.

11164132005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11164132005 is a deficient number, since it is larger than the sum of its proper divisors (9111532635).

11164132005 is a wasteful number, since it uses less digits than its factorization.

11164132005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11164132005 its reverse (50023146111), we get a palindrome (61187278116).

The spelling of 11164132005 in words is "eleven billion, one hundred sixty-four million, one hundred thirty-two thousand, five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 741 1033 1235 2917 3099 3705 5165 8751 13429 14585 15495 19627 37921 40287 43755 55423 58881 67145 98135 113763 166269 189605 201435 255151 277115 294405 568815 720499 765453 831345 1275755 2161497 3013261 3602495 3827265 9039783 10807485 15066305 39172393 45198915 57251959 117517179 171755877 195861965 286259795 587585895 744275467 858779385 2232826401 3721377335 11164132005