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171729718064112 = 243134313148856361
BaseRepresentation
bin100111000010111111110000…
…110101111011001111110000
3211112001012102022122012100110
4213002333300311323033300
5140002104430311022422
61405123313211221320
751113030334564225
oct4702776065731760
9745035368565313
10171729718064112
114a79a18995424a
1217316453147840
1374a9073405920
143059a96bdd94c
1514cc13dabb60c
hex9c2ff0d7b3f0

171729718064112 has 160 divisors (see below), whose sum is σ = 492603454861056. Its totient is φ = 51217099315200.

The previous prime is 171729718064083. The next prime is 171729718064209. The reversal of 171729718064112 is 211460817927171.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20913189 + ... + 27943172.

Almost surely, 2171729718064112 is an apocalyptic number.

171729718064112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

171729718064112 is an abundant number, since it is smaller than the sum of its proper divisors (320873736796944).

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

171729718064112 is a wasteful number, since it uses less digits than its factorization.

171729718064112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48856559 (or 48856553 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 57.

The spelling of 171729718064112 in words is "one hundred seventy-one trillion, seven hundred twenty-nine billion, seven hundred eighteen million, sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 131 156 172 208 258 262 312 344 393 516 524 559 624 688 786 1032 1048 1118 1572 1677 1703 2064 2096 2236 3144 3354 3406 4472 5109 5633 6288 6708 6812 8944 10218 11266 13416 13624 16899 20436 22532 26832 27248 33798 40872 45064 67596 73229 81744 90128 135192 146458 219687 270384 292916 439374 585832 878748 1171664 1757496 3514992 48856361 97712722 146569083 195425444 293138166 390850888 586276332 635132693 781701776 1172552664 1270265386 1905398079 2100823523 2345105328 2540530772 3810796158 4201647046 5081061544 6302470569 6400183291 7621592316 8403294092 10162123088 12604941138 12800366582 15243184632 16806588184 19200549873 25209882276 25600733164 27310705799 30486369264 33613176368 38401099746 50419764552 51201466328 54621411598 76802199492 81932117397 83202382783 100839529104 102402932656 109242823196 153604398984 163864234794 166404765566 218485646392 249607148349 275207881513 307208797968 327728469588 332809531132 436971292784 499214296698 550415763026 655456939176 665619062264 825623644539 998428593396 1100831526052 1310913878352 1331238124528 1651247289078 1996857186792 2201663052104 3302494578156 3577702459669 3993714373584 4403326104208 6604989156312 7155404919338 10733107379007 13209978312624 14310809838676 21466214758014 28621619677352 42932429516028 57243239354704 85864859032056 171729718064112