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5340005510553 = 3272173133736101
BaseRepresentation
bin100110110110101000100…
…1000011010110110011001
3200220111111011110122201100
41031231101020122312121
51144442312402314203
615205055322342013
71060542212626200
oct115552110326631
920814434418640
105340005510553
111779757995a7a
12722b1905a909
132c97391546bc
14146659acc237
1593d8c104ea3
hex4db5121ad99

5340005510553 has 144 divisors (see below), whose sum is σ = 9557937067536. Its totient is φ = 2854617292800.

The previous prime is 5340005510527. The next prime is 5340005510569. The reversal of 5340005510553 is 3550155000435.

5340005510553 is a `hidden beast` number, since 5 + 3 + 40 + 0 + 0 + 55 + 10 + 553 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 71892624384 + 5268112886169 = 268128^2 + 2295237^2 .

It is not a de Polignac number, because 5340005510553 - 29 = 5340005510041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5340005512553) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 875264203 + ... + 875270303.

It is an arithmetic number, because the mean of its divisors is an integer number (66374562969).

Almost surely, 25340005510553 is an apocalyptic number.

It is an amenable number.

5340005510553 is a deficient number, since it is larger than the sum of its proper divisors (4217931556983).

5340005510553 is a wasteful number, since it uses less digits than its factorization.

5340005510553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 5340005510553 in words is "five trillion, three hundred forty billion, five million, five hundred ten thousand, five hundred fifty-three".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 313 357 373 441 833 939 1071 1119 2191 2499 2611 2817 3357 5321 6101 6341 6573 7497 7833 15337 15963 18277 18303 19023 19719 23499 37247 42707 44387 46011 47889 54831 54909 57069 103717 111741 116749 128121 133161 138033 164493 260729 298949 310709 311151 335223 350247 384363 399483 726019 782187 817243 896847 932127 933453 1050741 1909613 1984733 2178057 2275673 2346561 2451729 2690541 2796381 5082133 5720701 5728839 5954199 6534171 6827019 7355187 13367291 13893131 15246399 15929711 17162103 17186517 17862597 20481057 32463421 38686441 40101873 41679393 45739197 47789133 51486309 93571037 97251917 97390263 111507977 116059323 120305619 125038179 143367399 227243947 270805087 280713111 291755751 292170789 334523931 348177969 681731841 712285649 812415261 842139333 875267253 1003571793 1590707629 1895635609 2045195523 2136856947 2437245783 4772122887 4985999543 5686906827 6410570841 12108856033 14316368661 14957998629 17060720481 34901996801 36326568099 44873995887 84761992231 104705990403 108979704297 254285976693 314117971209 593333945617 762857930079 1780001836851 5340005510553