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806090321280 = 2735588171389
BaseRepresentation
bin10111011101011101011…
…10100010110110000000
32212001122211011010011110
423232232232202312000
5101201333110240110
61414151321043320
7112144445451516
oct13565656426600
92761584133143
10806090321280
11290951a76272
12110286026540
135b02497a68a
142b02d1664b6
1515e7cd1ba20
hexbbaeba2d80

806090321280 has 128 divisors (see below), whose sum is σ = 2569885797600. Its totient is φ = 214917857280.

The previous prime is 806090321251. The next prime is 806090321293. The reversal of 806090321280 is 82123090608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8060903212802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11255826 + ... + 11327214.

Almost surely, 2806090321280 is an apocalyptic number.

806090321280 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 806090321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284942898800).

806090321280 is an abundant number, since it is smaller than the sum of its proper divisors (1763795476320).

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

806090321280 is a wasteful number, since it uses less digits than its factorization.

806090321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77292 (or 77280 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 806090321280 in words is "eight hundred six billion, ninety million, three hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5881 11762 17643 23524 29405 35286 47048 58810 70572 71389 88215 94096 117620 141144 142778 176430 188192 214167 235240 282288 285556 352860 356945 376384 428334 470480 564576 571112 705720 713890 752768 856668 940960 1070835 1129152 1142224 1411440 1427780 1713336 1881920 2141670 2258304 2284448 2822880 2855560 3426672 3763840 4283340 4568896 5645760 5711120 6853344 8566680 9137792 11291520 11422240 13706688 17133360 22844480 27413376 34266720 45688960 68533440 137066880 419838709 839677418 1259516127 1679354836 2099193545 2519032254 3358709672 4198387090 5038064508 6297580635 6717419344 8396774180 10076129016 12595161270 13434838688 16793548360 20152258032 25190322540 26869677376 33587096720 40304516064 50380645080 53739354752 67174193440 80609032128 100761290160 134348386880 161218064256 201522580320 268696773760 403045160640 806090321280