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12522383055 = 3357138312281
BaseRepresentation
bin10111010100110010…
…00110011011001111
31012022201001222012000
423222121012123033
5201121212224210
65430330043343
7622213333260
oct135231063317
935281058160
1012522383055
115346616806
122515879553
131247455920
1486b15c967
154d455aac0
hex2ea6466cf

12522383055 has 128 divisors (see below), whose sum is σ = 27731773440. Its totient is φ = 5220080640.

The previous prime is 12522383053. The next prime is 12522383113. The reversal of 12522383055 is 55038322521.

12522383055 is a `hidden beast` number, since 1 + 2 + 522 + 3 + 83 + 0 + 55 = 666.

It is not a de Polignac number, because 12522383055 - 21 = 12522383053 is a prime.

It is a super-2 number, since 2×125223830552 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12522383053) 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, 1013515 + ... + 1025795.

It is an arithmetic number, because the mean of its divisors is an integer number (216654480).

Almost surely, 212522383055 is an apocalyptic number.

12522383055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12522383055 is an abundant number, since it is smaller than the sum of its proper divisors (15209390385).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12522383055 is a wasteful number, since it uses less digits than its factorization.

12522383055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12392 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 12522383055 in words is "twelve billion, five hundred twenty-two million, three hundred eighty-three thousand, fifty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 83 91 105 117 135 189 195 249 273 315 351 415 455 581 585 747 819 945 1079 1245 1365 1743 1755 2241 2457 2905 3237 3735 4095 5229 5395 7553 8715 9711 11205 12281 12285 15687 16185 22659 26145 29133 36843 37765 48555 61405 67977 78435 85967 110529 113295 145665 159653 184215 203931 257901 331587 339885 429835 478959 552645 773703 798265 1019323 1019655 1117571 1289505 1436877 1657935 2321109 2394795 3057969 3352713 3868515 4310631 5096615 5587855 7135261 7184385 9173907 10058139 11605545 13251199 15289845 16763565 21405783 21553155 27521721 30174417 35676305 39753597 45869535 50290695 64217349 66255995 92758393 107028915 119260791 137608605 150872085 192652047 198767985 278275179 321086745 357782373 463791965 596303955 834825537 963260235 1391375895 1788911865 2504476611 4174127685 12522383055