Search a number
-
+
22080553673864 = 2377938914478867
BaseRepresentation
bin1010000010101000001111…
…00011101110010010001000
32220011212202202020222101012
411001110013203232102020
510343231433220030424
6114543355531543052
74436160463324040
oct501240743562210
986155682228335
1022080553673864
117043345a01304
1225874388baa88
13c422585a868a
145649c1210720
15284574c4db0e
hex1415078ee488

22080553673864 has 128 divisors (see below), whose sum is σ = 48076194816000. Its totient is φ = 9311798935296.

The previous prime is 22080553673861. The next prime is 22080553673873. The reversal of 22080553673864 is 46837635508022.

It is not an unprimeable number, because it can be changed into a prime (22080553673861) 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, 2490189959 + ... + 2490198825.

It is an arithmetic number, because the mean of its divisors is an integer number (375595272000).

Almost surely, 222080553673864 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 22080553673864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24038097408000).

22080553673864 is an abundant number, since it is smaller than the sum of its proper divisors (25995641142136).

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

22080553673864 is a wasteful number, since it uses less digits than its factorization.

22080553673864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10795 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 59.

The spelling of 22080553673864 in words is "twenty-two trillion, eighty billion, five hundred fifty-three million, six hundred seventy-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 389 553 632 778 1106 1447 1556 2212 2723 2894 3112 4424 5446 5788 8867 10129 10892 11576 17734 20258 21784 30731 35468 40516 61462 62069 70936 81032 114313 122924 124138 215117 228626 245848 248276 430234 457252 496552 562883 700493 800191 860468 914504 1125766 1400986 1600382 1720936 2251532 2801972 3200764 3449263 3940181 4503064 4903451 5603944 6401528 6898526 7880362 9806902 12830549 13797052 15760724 19613804 24144841 25661098 27594104 31521448 39227608 44467757 48289682 51322196 88935514 89813843 96579364 102644392 177871028 179627686 193158728 272491777 311274299 355742056 359255372 544983554 622548598 718510744 1013613371 1089967108 1245097196 1907442439 2027226742 2179934216 2490194392 3814884878 4054453484 4991083561 7095293597 7629769756 8108906968 9982167122 14190587194 15259539512 19964334244 28381174388 34937584927 39928668488 56762348776 69875169854 139750339708 279500679416 394295601319 788591202638 1577182405276 2760069209233 3154364810552 5520138418466 11040276836932 22080553673864