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2809693968822 = 234131979198867
BaseRepresentation
bin101000111000101110110…
…011111001100110110110
3100221121022101220020020000
4220320232303321212312
5332013223124000242
65550431112452130
7406664556452616
oct50705663714666
910847271806200
102809693968822
11993647aa6864
123946549aa046
13174c5099b170
1499dc0474a46
154d14737ba4c
hex28e2ecf99b6

2809693968822 has 160 divisors (see below), whose sum is σ = 7138640678400. Its totient is φ = 818824324032.

The previous prime is 2809693968817. The next prime is 2809693968857. The reversal of 2809693968822 is 2288693969082.

2809693968822 is a `hidden beast` number, since 2 + 80 + 9 + 69 + 396 + 88 + 22 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 316866433 + ... + 316875299.

It is an arithmetic number, because the mean of its divisors is an integer number (44616504240).

Almost surely, 22809693968822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2809693968822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569320339200).

2809693968822 is an abundant number, since it is smaller than the sum of its proper divisors (4328946709578).

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

2809693968822 is a wasteful number, since it uses less digits than its factorization.

2809693968822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16832 (or 16823 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 2809693968822 in words is "two trillion, eight hundred nine billion, six hundred ninety-three million, nine hundred sixty-eight thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 247 342 351 494 513 702 741 1026 1053 1482 1539 2106 2223 3078 4446 6669 7919 8867 13338 15838 17734 20007 23757 26601 40014 47514 53202 71271 79803 102947 115271 142542 150461 159606 168473 205894 213813 230542 239409 300922 308841 336946 345813 427626 451383 478818 505419 617682 641439 691626 718227 902766 926523 1010838 1037439 1282878 1354149 1436454 1516257 1853046 1955993 2074878 2190149 2708298 2779569 3032514 3112317 3911986 4062447 4380298 4548771 5559138 5867979 6224634 6570447 8124894 8338707 9097542 9336951 11735958 12187341 13140894 13646313 16677414 17603937 18673902 19711341 24374682 27292626 35207874 39422682 52811811 59134023 70217773 105623622 118268046 140435546 158435433 177402069 210653319 316870866 354804138 421306638 631959957 912831049 1263919914 1334137687 1825662098 1895879871 2668275374 2738493147 3791759742 4002413061 5476986294 5687639613 8004826122 8215479441 11375279226 12007239183 16430958882 17343789931 24014478366 24646438323 34687579862 36021717549 49292876646 52031369793 72043435098 73939314969 104062739586 108065152647 147878629938 156094109379 216130305294 312188218758 468282328137 936564656274 1404846984411 2809693968822