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6412037868054 = 2347131922892123
BaseRepresentation
bin101110101001110101100…
…1111010100101000010110
3211200222120221110222110000
41131103223033110220112
51320023323143234204
621345352144312130
71231153163414340
oct135235317245026
924628527428400
106412037868054
11205236a240235
12876842612646
13376863930c90
141824b6a2a290
15b1bd25d2039
hex5d4eb3d4a16

6412037868054 has 160 divisors (see below), whose sum is σ = 18614043866880. Its totient is φ = 1602082266048.

The previous prime is 6412037868031. The next prime is 6412037868077. The reversal of 6412037868054 is 4508687302146.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6412037868031) and next prime (6412037868077).

It is a super-2 number, since 2×64120378680542 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11165964 + ... + 11726159.

It is an arithmetic number, because the mean of its divisors is an integer number (116337774168).

Almost surely, 26412037868054 is an apocalyptic number.

6412037868054 is an abundant number, since it is smaller than the sum of its proper divisors (12202005998826).

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

6412037868054 is a wasteful number, since it uses less digits than its factorization.

6412037868054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22892176 (or 22892167 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 6412037868054 in words is "six trillion, four hundred twelve billion, thirty-seven million, eight hundred sixty-eight thousand, fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 54 57 63 78 81 91 114 117 126 133 162 171 182 189 234 247 266 273 342 351 378 399 494 513 546 567 702 741 798 819 1026 1053 1134 1197 1482 1539 1638 1729 2106 2223 2394 2457 3078 3458 3591 4446 4914 5187 6669 7182 7371 10374 10773 13338 14742 15561 20007 21546 31122 40014 46683 93366 140049 280098 22892123 45784246 68676369 137352738 160244861 206029107 297597599 320489722 412058214 434950337 480734583 595195198 618087321 869900674 892792797 961469166 1236174642 1304851011 1442203749 1785585594 1854261963 2083183193 2609702022 2678378391 2884407498 3044652359 3708523926 3914553033 4166366386 4326611247 5356756782 5654354381 6089304718 6249549579 7829106066 8035135173 8653222494 9133957077 11308708762 11743659099 12499099158 12979833741 16070270346 16963063143 18267914154 18748648737 23487318198 24105405519 25959667482 27401871231 33926126286 35230977297 37497297474 39580480667 48210811038 50889189429 54803742462 56245946211 70461954594 79160961334 82205613693 101778378858 112491892422 118741442001 152667568287 164411227386 168737838633 237482884002 246616841079 305335136574 337475677266 356224326003 458002704861 493233682158 712448652006 916005409722 1068672978009 2137345956018 3206018934027 6412037868054