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9982080073320 = 23352511809718313
BaseRepresentation
bin1001000101000010001001…
…0101100011111001101000
31022100021111022201122202020
42101100202111203321220
52302021244444321240
633121412042504440
72050116151442145
oct221204225437150
938307438648666
109982080073320
1131a9415a72963
121152716505120
135753c96b2804
142671c71c73cc
151249cbb050d0
hex91422563e68

9982080073320 has 128 divisors (see below), whose sum is σ = 30068851155840. Its totient is φ = 2650991616000.

The previous prime is 9982080073297. The next prime is 9982080073331. The reversal of 9982080073320 is 233700802899.

It is a happy 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, 545072484 + ... + 545090796.

It is an arithmetic number, because the mean of its divisors is an integer number (234912899655).

Almost surely, 29982080073320 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 9982080073320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034425577920).

9982080073320 is an abundant number, since it is smaller than the sum of its proper divisors (20086771082520).

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

9982080073320 is a wasteful number, since it uses less digits than its factorization.

9982080073320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36675 (or 36671 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 9982080073320 in words is "nine trillion, nine hundred eighty-two billion, eighty million, seventy-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 502 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 7530 10040 15060 18097 18313 30120 36194 36626 54291 54939 72388 73252 90485 91565 108582 109878 144776 146504 180970 183130 217164 219756 271455 274695 361940 366260 434328 439512 542910 549390 723880 732520 1085820 1098780 2171640 2197560 4542347 4596563 9084694 9193126 13627041 13789689 18169388 18386252 22711735 22982815 27254082 27579378 36338776 36772504 45423470 45965630 54508164 55158756 68135205 68948445 90846940 91931260 109016328 110317512 136270410 137896890 181693880 183862520 272540820 275793780 331410361 545081640 551587560 662820722 994231083 1325641444 1657051805 1988462166 2651282888 3314103610 3976924332 4971155415 6628207220 7953848664 9942310830 13256414440 19884621660 39769243320 83184000611 166368001222 249552001833 332736002444 415920003055 499104003666 665472004888 831840006110 998208007332 1247760009165 1663680012220 1996416014664 2495520018330 3327360024440 4991040036660 9982080073320