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23213828090868 = 223231034219193549
BaseRepresentation
bin1010100011100111000111…
…11110100010101111110100
310001012012221121000021011220
411101303203332202233310
511020313404442401433
6121212141351430340
74614100205041512
oct521634376425764
9101165847007156
1023213828090868
11743aa24857288
12272abb40853b0
13cc5092c4169c
145a37ab95d4b2
152a3ca1a262b3
hex151ce3fa2bf4

23213828090868 has 96 divisors (see below), whose sum is σ = 57083190528000. Its totient is φ = 7327875924864.

The previous prime is 23213828090867. The next prime is 23213828090899. The reversal of 23213828090868 is 86809082831232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213828090867) 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, 119840958 + ... + 120034506.

It is an arithmetic number, because the mean of its divisors is an integer number (594616568000).

Almost surely, 223213828090868 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 23213828090868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28541595264000).

23213828090868 is an abundant number, since it is smaller than the sum of its proper divisors (33869362437132).

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

23213828090868 is a wasteful number, since it uses less digits than its factorization.

23213828090868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197901 (or 197899 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 23213828090868 in words is "twenty-three trillion, two hundred thirteen billion, eight hundred twenty-eight million, ninety thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 206 276 309 412 618 1236 2369 4219 4738 7107 8438 9476 12657 14214 16876 25314 28428 50628 97037 193549 194074 291111 387098 388148 434557 580647 582222 774196 869114 1161294 1164444 1303671 1738228 2322588 2607342 4451627 5214684 8903254 9994811 13354881 17806508 19935547 19989622 26709762 29984433 39871094 39979244 53419524 59806641 59968866 79742188 119613282 119937732 239226564 458517581 816583231 917035162 1375552743 1633166462 1834070324 2449749693 2751105486 3266332924 4899499386 5502210972 9798998772 18781414313 37562828626 56344242939 75125657252 84108072793 112688485878 168216145586 225376971756 252324218379 336432291172 504648436758 1009296873516 1934485674239 3868971348478 5803457022717 7737942696956 11606914045434 23213828090868