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84445382940 = 22356188126189
BaseRepresentation
bin100111010100101010…
…1100100100100011100
322001222010212220222120
41032221111210210130
52340421004223230
6102443233342540
76046430624502
oct1165125444434
9261863786876
1084445382940
11328a4243086
1214448707a50
137c6a0c7819
144131308672
1522e38be310
hex13a956491c

84445382940 has 96 divisors (see below), whose sum is σ = 240605225280. Its totient is φ = 22123622400.

The previous prime is 84445382921. The next prime is 84445382951. The reversal of 84445382940 is 4928354448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3211366 + ... + 3237554.

It is an arithmetic number, because the mean of its divisors is an integer number (2506304430).

Almost surely, 284445382940 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 84445382940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120302612640).

84445382940 is an abundant number, since it is smaller than the sum of its proper divisors (156159842340).

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

84445382940 is a wasteful number, since it uses less digits than its factorization.

84445382940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27143 (or 27141 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 84445382940 in words is "eighty-four billion, four hundred forty-five million, three hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 881 915 1220 1762 1830 2643 3524 3660 4405 5286 8810 10572 13215 17620 26189 26430 52378 52860 53741 78567 104756 107482 130945 157134 161223 214964 261890 268705 314268 322446 392835 523780 537410 644892 785670 806115 1074820 1571340 1597529 1612230 3195058 3224460 4792587 6390116 7987645 9585174 15975290 19170348 23072509 23962935 31950580 46145018 47925870 69217527 92290036 95851740 115362545 138435054 230725090 276870108 346087635 461450180 692175270 1384350540 1407423049 2814846098 4222269147 5629692196 7037115245 8444538294 14074230490 16889076588 21111345735 28148460980 42222691470 84445382940