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83080213030640 = 24571015992452231
BaseRepresentation
bin10010111000111110011110…
…100101011110011011110000
3101220011101112220002110011202
4102320332132211132123300
541342141234013440030
6452410304543430332
723333230061644550
oct2270763645363360
9356141486073152
1083080213030640
11245211363a4a81
1293996032b53a8
133748579994357
141673164a3b160
159911911cb745
hex4b8f9e95e6f0

83080213030640 has 160 divisors (see below), whose sum is σ = 223313978419200. Its totient is φ = 28155523968000.

The previous prime is 83080213030637. The next prime is 83080213030649. The reversal of 83080213030640 is 4603031208038.

It is a junction number, because it is equal to n+sod(n) for n = 83080213030594 and 83080213030603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83080213030649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32653325 + ... + 35105555.

It is an arithmetic number, because the mean of its divisors is an integer number (1395712365120).

Almost surely, 283080213030640 is an apocalyptic number.

83080213030640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83080213030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111656989209600).

83080213030640 is an abundant number, since it is smaller than the sum of its proper divisors (140233765388560).

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

83080213030640 is a wasteful number, since it uses less digits than its factorization.

83080213030640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452951 (or 2452945 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

Adding to 83080213030640 its reverse (4603031208038), we get a palindrome (87683244238678).

The spelling of 83080213030640 in words is "eighty-three trillion, eighty billion, two hundred thirteen million, thirty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 404 505 560 599 707 808 1010 1198 1414 1616 2020 2396 2828 2995 3535 4040 4193 4792 5656 5990 7070 8080 8386 9584 11312 11980 14140 16772 20965 23960 28280 33544 41930 47920 56560 60499 67088 83860 120998 167720 241996 302495 335440 423493 483992 604990 846986 967984 1209980 1693972 2117465 2419960 2452231 3387944 4234930 4839920 4904462 6775888 8469860 9808924 12261155 16939720 17165617 19617848 24522310 33879440 34331234 39235696 49044620 68662468 85828085 98089240 137324936 171656170 196178480 247675331 274649872 343312340 495350662 686624680 990701324 1238376655 1373249360 1468886369 1733727317 1981402648 2476753310 2937772738 3467454634 3962805296 4953506620 5875545476 6934909268 7344431845 8668636585 9907013240 10282204583 11751090952 13869818536 14688863690 17337273170 19814026480 20564409166 23502181904 27739637072 29377727380 34674546340 41128818332 51411022915 58755454760 69349092680 82257636664 102822045830 117510909520 138698185360 148357523269 164515273328 205644091660 296715046538 411288183320 593430093076 741787616345 822576366640 1038502662883 1186860186152 1483575232690 2077005325766 2373720372304 2967150465380 4154010651532 5192513314415 5934300930760 8308021303064 10385026628830 11868601861520 16616042606128 20770053257660 41540106515320 83080213030640