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135240222663 = 327132319137589
BaseRepresentation
bin111110111110011110…
…0100000011111000111
3110221002010100010201200
41331330330200133013
54203432444111123
6142043431153543
712525243632310
oct1757474403707
9427063303650
10135240222663
115239a641a67
12222638158b3
13c9a37316c0
14678d41d607
1537b7e1c143
hex1f7cf207c7

135240222663 has 96 divisors (see below), whose sum is σ = 252200632320. Its totient is φ = 67874906880.

The previous prime is 135240222647. The next prime is 135240222701. The reversal of 135240222663 is 366222042531.

135240222663 is a `hidden beast` number, since 1 + 352 + 40 + 2 + 2 + 266 + 3 = 666.

It is not a de Polignac number, because 135240222663 - 24 = 135240222647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135240224663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3579073 + ... + 3616661.

It is an arithmetic number, because the mean of its divisors is an integer number (2627089920).

Almost surely, 2135240222663 is an apocalyptic number.

135240222663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

135240222663 is a deficient number, since it is larger than the sum of its proper divisors (116960409657).

135240222663 is a wasteful number, since it uses less digits than its factorization.

135240222663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37829 (or 37826 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 135240222663 in words is "one hundred thirty-five billion, two hundred forty million, two hundred twenty-two thousand, six hundred sixty-three".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 191 207 273 299 483 573 819 897 1337 1449 1719 2093 2483 2691 4011 4393 6279 7449 12033 13179 17381 18837 22347 30751 37589 39537 52143 57109 92253 112767 156429 171327 263123 276759 338301 399763 488657 513981 789369 864547 1199289 1465971 2368107 2593641 3420599 3597867 4397913 6051829 7179499 7780923 10261797 11239111 18155487 21538497 30785391 33717333 50256493 54466461 64615491 78673777 93333487 101151999 150769479 165128477 236021331 280000461 452308437 495385431 653334409 708063993 840001383 1155899339 1486156293 1960003227 2146670201 3467698017 5880009681 6440010603 10403094051 15026691407 19320031809 45080074221 135240222663