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54656042052009 = 317195326914892657
BaseRepresentation
bin11000110110101100110011…
…11110001010100110101001
321011112001210112201020101010
430123112121332022212221
524130441033231131014
6312124350013214133
714340524450026056
oct1433263176124651
9234461715636333
1054656042052009
1116462551949412
126168859a91349
132466072919218
14d6d51bb5602d
1564bae09c0359
hex31b599f8a9a9

54656042052009 has 128 divisors (see below), whose sum is σ = 83149809984000. Its totient is φ = 31724268945408.

The previous prime is 54656042051929. The next prime is 54656042052037. The reversal of 54656042052009 is 90025024065645.

It is not a de Polignac number, because 54656042052009 - 212 = 54656042047913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54656042052509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20570582809 + ... + 20570585465.

It is an arithmetic number, because the mean of its divisors is an integer number (649607890500).

Almost surely, 254656042052009 is an apocalyptic number.

It is an amenable number.

54656042052009 is a deficient number, since it is larger than the sum of its proper divisors (28493767931991).

54656042052009 is a wasteful number, since it uses less digits than its factorization.

54656042052009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507.

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 54656042052009 in words is "fifty-four trillion, six hundred fifty-six billion, forty-two million, fifty-two thousand, nine".

Divisors: 1 3 17 19 51 53 57 159 269 323 807 901 969 1007 1489 2657 2703 3021 4467 4573 5111 7971 13719 14257 15333 17119 25313 28291 42771 45169 50483 51357 75939 78917 84873 86887 135507 140821 151449 236751 242369 260661 270883 400541 422463 480947 714733 727107 812649 858211 1201623 1341589 1442841 1499423 2144199 2393957 2574633 2675599 3956273 4024767 4498269 4605011 6809197 7181871 7610279 8026797 11868819 12150461 13579927 13815033 20427591 21228673 22830837 25490191 36451383 37880849 40739781 45485183 63686019 67256641 75169187 76470573 113642547 129374743 136455549 201769923 209682469 225507561 230858759 360887441 388124229 403344787 629047407 643974433 692576277 719736131 1064237437 1082662323 1210034361 1277876179 1931923299 2159208393 3192712311 3564601973 3833628537 3983966911 6856861379 10693805919 11951900733 12235514227 18092036429 20220511303 20570584137 36706542681 54276109287 56404584161 60661533909 67727437487 169213752483 203182312461 343748692151 958877930737 1031246076453 1071687099059 2876633792211 3215061297177 18218680684003 54656042052009