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22055506431063 = 37171272697972269
BaseRepresentation
bin1010000001111001100101…
…01000000100110001010111
32220002111010011110012121220
411000330302220010301113
510342324134121243223
6114524054302341423
74434313003300410
oct500746250046127
986074104405556
1022055506431063
117033762438046
12258260858a873
13c3ca96340a51
145636c688a807
15283aaad486e3
hex140f32a04c57

22055506431063 has 128 divisors (see below), whose sum is σ = 36059937177600. Its totient is φ = 11704764653568.

The previous prime is 22055506431061. The next prime is 22055506431137. The reversal of 22055506431063 is 36013460555022.

It is a happy number.

It is not a de Polignac number, because 22055506431063 - 21 = 22055506431061 is a prime.

It is a super-2 number, since 2×220555064310632 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22055506431061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9720363093 + ... + 9720365361.

It is an arithmetic number, because the mean of its divisors is an integer number (281718259200).

Almost surely, 222055506431063 is an apocalyptic number.

22055506431063 is a deficient number, since it is larger than the sum of its proper divisors (14004430746537).

22055506431063 is a wasteful number, since it uses less digits than its factorization.

22055506431063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489.

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 22055506431063 its reverse (36013460555022), we get a palindrome (58068966986085).

The spelling of 22055506431063 in words is "twenty-two trillion, fifty-five billion, five hundred six million, four hundred thirty-one thousand, sixty-three".

Divisors: 1 3 7 17 21 51 119 127 269 357 381 797 807 889 1883 2159 2269 2391 2667 4573 5579 5649 6477 6807 13549 13719 15113 15883 16737 32011 34163 38573 40647 45339 47649 94843 96033 101219 102489 115719 214393 239141 270011 284529 288163 303657 580771 610361 643179 708533 717423 810033 864489 1500751 1720723 1742313 1808393 1831083 2017141 2125599 3644681 4065397 4272527 4502253 4898771 5162169 5425179 6051423 10376137 10934043 12045061 12196191 12658751 12817581 14696313 25512767 27227911 30742681 31128411 34291397 36135183 37976253 72632959 76538301 77515847 81683733 92228043 102874191 190595377 215198767 217898877 229665911 232547541 462874487 486457717 542610929 571786131 645596301 688997733 1317769399 1388623461 1459373151 1607661377 1627832787 3240121409 3405204019 3904320487 3953308197 4822984131 8269781189 9224385793 9720364227 10215612057 11712961461 24809343567 27330243409 27673157379 57888468323 61780130059 81990730227 173665404969 185340390177 432460910413 1050262211003 1297382731239 3150786633009 7351835477021 22055506431063