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13458839121 = 3371346311831
BaseRepresentation
bin11001000100011010…
…11001011001010001
31021201222011212102000
430202031121121101
5210030430322441
610103301344213
7654344150010
oct144215313121
937658155360
1013458839121
115787189042
122737408069
131366474a40
14919688a77
1553b8892b6
hex322359651

13458839121 has 64 divisors (see below), whose sum is σ = 24595415040. Its totient is φ = 7083236160.

The previous prime is 13458839099. The next prime is 13458839153. The reversal of 13458839121 is 12193885431.

13458839121 is a `hidden beast` number, since 1 + 34 + 588 + 39 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 13458839121 - 218 = 13458576977 is a prime.

It is a super-2 number, since 2×134588391212 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13458839161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1131676 + ... + 1143506.

It is an arithmetic number, because the mean of its divisors is an integer number (384303360).

Almost surely, 213458839121 is an apocalyptic number.

It is an amenable number.

13458839121 is a deficient number, since it is larger than the sum of its proper divisors (11136575919).

13458839121 is a wasteful number, since it uses less digits than its factorization.

13458839121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323 (or 12317 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 13458839121 in words is "thirteen billion, four hundred fifty-eight million, eight hundred thirty-nine thousand, one hundred twenty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 463 819 1389 2457 3241 4167 6019 9723 11831 12501 18057 29169 35493 42133 54171 82817 87507 106479 126399 153803 162513 248451 319437 379197 461409 745353 1076621 1137591 1384227 2236059 3229863 4152681 5477753 9689589 16433259 29068767 38344271 49299777 71210789 115032813 147899331 213632367 345098439 498475523 640897101 1035295317 1495426569 1922691303 4486279707 13458839121