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22772931868113 = 3731471171635599
BaseRepresentation
bin1010010110110001111001…
…00000111011010111010001
32222122001220202222112012020
411023120330200323113101
510441102431024234423
6120233423535322053
74540201324012410
oct513307440732721
988561822875166
1022772931868113
11728aa45394489
122679668980329
13c9262a97a78b
1458a304177477
15297599b134e3
hex14b63c83b5d1

22772931868113 has 64 divisors (see below), whose sum is σ = 36614465126400. Its totient is φ = 12314838369600.

The previous prime is 22772931868091. The next prime is 22772931868303. The reversal of 22772931868113 is 31186813927722.

It is a happy number.

It is not a de Polignac number, because 22772931868113 - 29 = 22772931867601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22772931869113) 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 63 ways as a sum of consecutive naturals, for example, 35511288 + ... + 36146886.

It is an arithmetic number, because the mean of its divisors is an integer number (572101017600).

Almost surely, 222772931868113 is an apocalyptic number.

It is an amenable number.

22772931868113 is a deficient number, since it is larger than the sum of its proper divisors (13841533258287).

22772931868113 is a wasteful number, since it uses less digits than its factorization.

22772931868113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636858.

The product of its digits is 12192768, while the sum is 60.

The spelling of 22772931868113 in words is "twenty-two trillion, seven hundred seventy-two billion, nine hundred thirty-one million, eight hundred sixty-eight thousand, one hundred thirteen".

Divisors: 1 3 7 21 31 47 93 141 217 329 651 987 1171 1457 3513 4371 8197 10199 24591 30597 36301 55037 108903 165111 254107 385259 635599 762321 1155777 1706147 1906797 4449193 5118441 11943029 13347579 19703569 29873153 35829087 59110707 89619459 137924983 209112071 413774949 627336213 744286429 926067743 2232859287 2778203229 5210005003 6482474201 15630015009 19447422603 23072879299 34981462163 69218637897 104944386489 161510155093 244870235141 484530465279 734610705423 1084425327053 3253275981159 7590977289371 22772931868113