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5083282823805 = 335377397143719
BaseRepresentation
bin100100111111000101101…
…0001000101101001111101
3122222221211201102221002000
41021332023101011221331
51131241030400330210
614451121120252513
71033153326040464
oct111761321055175
918887751387060
105083282823805
11168a8986a676a
126a1211171139
132ab475376374
141380645099db
158c363eedac0
hex49f8b445a7d

5083282823805 has 128 divisors (see below), whose sum is σ = 9505387852800. Its totient is φ = 2574837891072.

The previous prime is 5083282823767. The next prime is 5083282823837.

5083282823805 is a `hidden beast` number, since 5 + 0 + 8 + 328 + 282 + 38 + 0 + 5 = 666.

5083282823805 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5083282823805 - 29 = 5083282823293 is a prime.

It is a Curzon number.

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 127 ways as a sum of consecutive naturals, for example, 35297736 + ... + 35441454.

It is an arithmetic number, because the mean of its divisors is an integer number (74260842600).

Almost surely, 25083282823805 is an apocalyptic number.

It is an amenable number.

5083282823805 is a deficient number, since it is larger than the sum of its proper divisors (4422105028995).

5083282823805 is a wasteful number, since it uses less digits than its factorization.

5083282823805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143940 (or 143934 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 5083282823805 in words is "five trillion, eighty-three billion, two hundred eighty-two million, eight hundred twenty-three thousand, eight hundred five".

Divisors: 1 3 5 9 15 27 37 45 73 97 111 135 185 219 291 333 365 485 555 657 873 999 1095 1455 1665 1971 2619 2701 3285 3589 4365 4995 7081 8103 9855 10767 13095 13505 17945 21243 24309 32301 35405 40515 53835 63729 72927 96903 106215 121545 143719 161505 191187 261997 318645 364635 431157 484515 718595 785991 955935 1293471 1309985 2155785 2357973 3880413 3929955 5317603 6467355 7073919 10491487 11789865 13940743 15952809 19402065 26588015 31474461 35369595 41822229 47858427 52457435 69703715 79764045 94423383 125466687 143575281 157372305 209111145 239292135 283270149 376400061 388185019 472116915 515807491 627333435 717876405 1017674239 1164555057 1416350745 1547422473 1882000305 1940925095 2579037455 3053022717 3493665171 4642267419 5088371195 5822775285 7737112365 9159068151 10480995513 13926802257 15265113585 17468325855 23211337095 27477204453 37653946843 45795340755 52404977565 69634011285 112961840529 137386022265 188269734215 338885521587 564809202645 1016656564761 1694427607935 5083282823805