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82413348848460 = 22325729343917103
BaseRepresentation
bin10010101111010001011010…
…011000100000001101001100
3101210210122020222111000011200
4102233101122120200031030
541300230014301122320
6451140100401545500
723234111416634100
oct2257213230401514
9353718228430150
1082413348848460
1124294339a05793
1292b0313945290
1336ca712478606
14164cb8241d900
1597db611be290
hex4af45a62034c

82413348848460 has 108 divisors (see below), whose sum is σ = 290801388110688. Its totient is φ = 18837336877632.

The previous prime is 82413348848393. The next prime is 82413348848483. The reversal of 82413348848460 is 6484884331428.

It is a happy number.

82413348848460 is a `hidden beast` number, since 8 + 2 + 4 + 13 + 3 + 4 + 88 + 484 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4671949732 + ... + 4671967371.

Almost surely, 282413348848460 is an apocalyptic number.

It is an amenable number.

82413348848460 is an abundant number, since it is smaller than the sum of its proper divisors (208388039262228).

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

82413348848460 is a wasteful number, since it uses less digits than its factorization.

82413348848460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343917132 (or 9343917120 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 63.

The spelling of 82413348848460 in words is "eighty-two trillion, four hundred thirteen billion, three hundred forty-eight million, eight hundred forty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 9343917103 18687834206 28031751309 37375668412 46719585515 56063502618 65407419721 84095253927 93439171030 112127005236 130814839442 140158756545 168190507854 186878342060 196222259163 261629678884 280317513090 327037098605 336381015708 392444518326 420476269635 457851938047 560635026180 588666777489 654074197210 784889036652 840952539270 915703876094 981111295815 1177333554978 1308148394420 1373555814141 1681905078540 1831407752188 1962222591630 2289259690235 2354667109956 2747111628282 2943333887445 3924445183260 4120667442423 4578519380470 5494223256564 5886667774890 6867779070705 8241334884846 9157038760940 11773335549780 13735558141410 16482669769692 20603337212115 27471116282820 41206674424230 82413348848460