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65542317341382 = 23471713397253777
BaseRepresentation
bin11101110011100010000101…
…00010101111101011000110
322121001210011210021000220000
432321301002202233223012
532042321131214411012
6351221420325422130
716543163503146330
oct1671610242575306
9277053153230800
1065542317341382
111997a3824aaa72
12742665956a946
132a757c9c7a19b
14122839d574450
15789d8d088ddc
hex3b9c428afac6

65542317341382 has 160 divisors (see below), whose sum is σ = 177730949487168. Its totient is φ = 17623439806464.

The previous prime is 65542317341359. The next prime is 65542317341387. The reversal of 65542317341382 is 28314371324556.

65542317341382 is a `hidden beast` number, since 6 + 5 + 5 + 423 + 173 + 41 + 3 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65542317341387) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 258140478 + ... + 258394254.

Almost surely, 265542317341382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65542317341382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88865474743584).

65542317341382 is an abundant number, since it is smaller than the sum of its proper divisors (112188632145786).

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

65542317341382 is a wasteful number, since it uses less digits than its factorization.

65542317341382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267212 (or 267203 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 65542317341382 in words is "sixty-five trillion, five hundred forty-two billion, three hundred seventeen million, three hundred forty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1377 2142 2754 3213 6426 9639 13397 19278 26794 40191 80382 93779 120573 187558 227749 241146 253777 281337 361719 455498 507554 562674 683247 723438 761331 844011 1085157 1366494 1522662 1594243 1688022 1776439 2049741 2170314 2283993 2532033 3188486 3552878 4099482 4314209 4567986 4782729 5064066 5329317 6149223 6851979 7596099 8628418 9565458 10658634 12298446 12942627 13703958 14348187 15192198 15987951 18447669 20555937 25885254 28696374 30199463 31975902 36895338 38827881 41111874 43044561 47963853 60398926 77655762 86089122 90598389 95927706 116483643 129133683 143891559 181196778 232967286 258267366 271795167 287783118 349450929 543590334 698901858 815385501 1630771002 2446156503 3399850469 4892313006 6799700938 10199551407 20399102814 23798953283 30598654221 47597906566 57797457973 61197308442 71396859849 91795962663 115594915946 142793719698 173392373919 183591925326 214190579547 275387887989 346784747838 404582205811 428381159094 520177121757 550775775978 642571738641 809164411622 1040354243514 1213746617433 1285143477282 1560531365271 1927715215923 2427493234866 3121062730542 3641239852299 3855430431846 4681594095813 7282479704598 9363188191626 10923719556897 21847439113794 32771158670691 65542317341382