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21122321879152 = 241315119714232399
BaseRepresentation
bin1001100110101111011000…
…11111100001000001110000
32202210021101221002020001101
410303113230133201001300
510232032003400113102
6112531243303014144
74310015553421204
oct463275437410160
982707357066041
1021122321879152
116803a2105223a
122451792a3a354
13ba2a987cc610
1453047c132b04
15269690346e87
hex1335ec7e1070

21122321879152 has 160 divisors (see below), whose sum is σ = 44639542886400. Its totient is φ = 9624259814400.

The previous prime is 21122321879123. The next prime is 21122321879167. The reversal of 21122321879152 is 25197812322112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8804634849 + ... + 8804637247.

It is an arithmetic number, because the mean of its divisors is an integer number (278997143040).

Almost surely, 221122321879152 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 21122321879152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22319771443200).

21122321879152 is an abundant number, since it is smaller than the sum of its proper divisors (23517221007248).

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

21122321879152 is a wasteful number, since it uses less digits than its factorization.

21122321879152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4185 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The spelling of 21122321879152 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred twenty-one million, eight hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 151 197 208 302 394 604 788 1208 1423 1576 1963 2399 2416 2561 2846 3152 3926 4798 5122 5692 7852 9596 10244 11384 15704 18499 19192 20488 22768 29747 31187 31408 36998 38384 40976 59494 62374 73996 118988 124748 147992 214873 237976 249496 280331 295984 362249 386711 429746 472603 475952 498992 560662 724498 773422 859492 945206 1121324 1448996 1546844 1718984 1890412 2242648 2793349 2897992 3093688 3413777 3437968 3644303 3780824 4485296 4709237 5586698 5795984 6143839 6187376 6827554 7288606 7561648 9418474 11173396 12287678 13655108 14577212 18836948 22346792 24575356 27310216 29154424 37673896 42329981 44379101 44693584 49150712 54620432 58308848 71363053 75347792 84659962 88758202 98301424 142726106 169319924 177516404 285452212 338639848 355032808 515480327 550289753 570904424 672514069 677279696 710065616 927719689 1030960654 1100579506 1141808848 1345028138 1855439378 2061921308 2201159012 2690056276 3710878756 4123842616 4402318024 5380112552 6701244251 7421757512 8247685232 8742682897 8804636048 10760225104 13402488502 14843515024 17485365794 26804977004 34970731588 53609954008 69941463176 101549624419 107219908016 139882926352 203099248838 406198497676 812396995352 1320145117447 1624793990704 2640290234894 5280580469788 10561160939576 21122321879152