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52270305129 = 34721921912
BaseRepresentation
bin110000101011100011…
…011000111101101001
311222220210210121210000
4300223203120331221
51324022144231004
640002422013213
73530210156100
oct605343307551
9158823717700
1052270305129
1120193251989
12a169277209
134c10218a43
14275c06d037
15155dd4cc39
hexc2b8d8f69

52270305129 has 135 divisors (see below), whose sum is σ = 96367732461. Its totient is φ = 28148556240.

The previous prime is 52270305107. The next prime is 52270305209. The reversal of 52270305129 is 92150307225.

The square root of 52270305129 is 228627.

It is a perfect power (a square), and thus also a powerful number.

52270305129 is a `hidden beast` number, since 5 + 227 + 0 + 305 + 129 = 666.

It is not a de Polignac number, because 52270305129 - 223 = 52261916521 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52270305093 and 52270305102.

It is not an unprimeable number, because it can be changed into a prime (52270305929) 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 134 ways as a sum of consecutive naturals, for example, 273666424 + ... + 273666614.

Almost surely, 252270305129 is an apocalyptic number.

52270305129 is the 228627-th square number.

52270305129 is the 114314-th centered octagonal number.

It is an amenable number.

52270305129 is a deficient number, since it is larger than the sum of its proper divisors (44097427332).

52270305129 is an equidigital number, since it uses as much as digits as its factorization.

52270305129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 52270305129 by its sum of digits (36), we get a square (1881730984644 = 13717622).

The spelling of 52270305129 in words is "fifty-two billion, two hundred seventy million, three hundred five thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 19 21 27 49 57 63 81 133 147 171 189 191 361 399 441 513 567 573 931 1083 1197 1323 1337 1539 1719 2527 2793 3249 3591 3629 3969 4011 5157 7581 8379 9359 9747 10773 10887 12033 15471 17689 22743 25137 25403 28077 29241 32661 36099 36481 53067 68229 68951 75411 76209 84231 97983 108297 109443 159201 177821 204687 206853 228627 252693 255367 293949 328329 477603 482657 533463 620559 685881 693139 758079 766101 984987 1432809 1447971 1600389 1787569 1861677 2057643 2079417 2298303 2954961 3378599 4343913 4801167 4851973 5362707 5585031 6238251 6894909 10135797 13031739 13169641 14403501 14555919 16088121 18714753 20684727 30407391 33963811 39095217 39508923 43667757 48264363 56144259 91222173 92187487 101891433 118526769 131003271 144793089 273666519 276562461 305674299 355580307 393009813 645312409 829687383 917022897 1066740921 1935937227 2489062149 2751068691 5807811681 7467186447 17423435043 52270305129