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83287450704504 = 23329594007506173
BaseRepresentation
bin10010111011111111011110…
…111010011101101001111000
3101220220012110122100001201010
4102323333132322131221320
541404040144340021004
6453045420542153520
723354214446054544
oct2273773672355170
9356805418301633
1083287450704504
11245a1011694722
1294117ba8828a0
133761c85604587
14167d1c4066a24
1599676ec66a89
hex4bbfdee9da78

83287450704504 has 128 divisors (see below), whose sum is σ = 219104502336000. Its totient is φ = 26344203615744.

The previous prime is 83287450704503. The next prime is 83287450704551. The reversal of 83287450704504 is 40540705478238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83287450704503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164290362 + ... + 164796534.

It is an arithmetic number, because the mean of its divisors is an integer number (1711753924500).

Almost surely, 283287450704504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83287450704504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109552251168000).

83287450704504 is an abundant number, since it is smaller than the sum of its proper divisors (135817051631496).

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

83287450704504 is a wasteful number, since it uses less digits than its factorization.

83287450704504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510277 (or 510273 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 57.

The spelling of 83287450704504 in words is "eighty-three trillion, two hundred eighty-seven billion, four hundred fifty million, seven hundred four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 59 87 116 118 174 177 232 236 348 354 472 696 708 1416 1711 3422 4007 5133 6844 8014 10266 12021 13688 16028 20532 24042 32056 41064 48084 96168 116203 232406 236413 348609 464812 472826 506173 697218 709239 929624 945652 1012346 1394436 1418478 1518519 1891304 2024692 2788872 2836956 3037038 4049384 5673912 6074076 6855977 12148152 13711954 14679017 20567931 27423908 29358034 29864207 41135862 44037051 54847816 58716068 59728414 82271724 88074102 89592621 117432136 119456828 164543448 176148204 179185242 238913656 352296408 358370484 716740968 866062003 1732124006 2028235211 2598186009 3464248012 4056470422 5196372018 6084705633 6928496024 8112940844 10392744036 12169411266 16225881688 20785488072 24338822532 48677645064 58818821119 117637642238 119665877449 176456463357 235275284476 239331754898 352912926714 358997632347 470550568952 478663509796 705825853428 717995264694 957327019592 1411651706856 1435990529388 2871981058776 3470310446021 6940620892042 10410931338063 13881241784084 20821862676126 27762483568168 41643725352252 83287450704504