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809011221282 = 233115974331069
BaseRepresentation
bin10111100010111001101…
…00111001001100100010
32212100012101100012201000
423301130310321030202
5101223323333040112
61415353222052430
7112310023630125
oct13613464711442
92770171305630
10809011221282
1129211081a710
1211096027a116
135b39bb58384
142b22905c3bc
151609e4887dc
hexbc5cd39322

809011221282 has 128 divisors (see below), whose sum is σ = 1997229312000. Its totient is φ = 240667640640.

The previous prime is 809011221269. The next prime is 809011221289. The reversal of 809011221282 is 282122110908.

809011221282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (809011221289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26023644 + ... + 26054712.

It is an arithmetic number, because the mean of its divisors is an integer number (15603354000).

Almost surely, 2809011221282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809011221282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998614656000).

809011221282 is an abundant number, since it is smaller than the sum of its proper divisors (1188218090718).

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

809011221282 is a wasteful number, since it uses less digits than its factorization.

809011221282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31893 (or 31887 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 809011221282 in words is "eight hundred nine billion, eleven million, two hundred twenty-one thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 649 743 1062 1298 1486 1593 1947 2229 3186 3894 4458 5841 6687 8173 11682 13374 16346 17523 20061 24519 31069 35046 40122 43837 49038 62138 73557 87674 93207 131511 147114 186414 220671 263022 279621 341759 394533 441342 482207 559242 683518 789066 838863 964414 1025277 1183599 1446621 1677726 1833071 2050554 2367198 2893242 3075831 3666142 4339863 5499213 6151662 8679726 9227493 10998426 13019589 16497639 18454986 20163781 23084267 26039178 32995278 40327562 46168534 49492917 60491343 69252801 98985834 120982686 138505602 181474029 207758403 253926937 362948058 415516806 507853874 544422087 623275209 761780811 1088844174 1246550418 1361971753 1523561622 2285342433 2723943506 4085915259 4570684866 6856027299 8171830518 12257745777 13712054598 14981689283 24515491554 29963378566 36773237331 44945067849 73546474662 89890135698 134835203547 269670407094 404505610641 809011221282