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21681088950 = 235253712541
BaseRepresentation
bin10100001100010010…
…110010100110110110
32001221222210102202110
4110030102302212312
5323400324321300
613543220551450
71365164133603
oct241422624666
961858712673
1021681088950
119216456034
124250b52586
132076a62621
1410996876aa
1586d636550
hex50c4b29b6

21681088950 has 144 divisors (see below), whose sum is σ = 55668789648. Its totient is φ = 5582304000.

The previous prime is 21681088939. The next prime is 21681088963. The reversal of 21681088950 is 5988018612.

It is a self number, because there is not a number n which added to its sum of digits gives 21681088950.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40075680 + ... + 40076220.

It is an arithmetic number, because the mean of its divisors is an integer number (386588817).

Almost surely, 221681088950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21681088950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27834394824).

21681088950 is an abundant number, since it is smaller than the sum of its proper divisors (33987700698).

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

21681088950 is a wasteful number, since it uses less digits than its factorization.

21681088950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 21681088950 in words is "twenty-one billion, six hundred eighty-one million, eighty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 71 75 106 142 150 159 213 265 318 355 426 530 541 710 795 1065 1082 1325 1590 1623 1775 2130 2650 2705 3246 3550 3763 3975 5041 5325 5410 7526 7950 8115 10082 10650 11289 13525 15123 16230 18815 22578 25205 27050 28673 30246 37630 38411 40575 50410 56445 57346 75615 76822 81150 86019 94075 112890 115233 126025 143365 151230 172038 188150 192055 230466 252050 267173 282225 286730 378075 384110 430095 534346 564450 576165 716825 756150 801519 860190 960275 1152330 1335865 1433650 1603038 1920550 2035783 2150475 2671730 2727181 2880825 4007595 4071566 4300950 5454362 5761650 6107349 6679325 8015190 8181543 10178915 12214698 13358650 13635905 16363086 20037975 20357830 27271810 30536745 40075950 40907715 50894575 61073490 68179525 81815430 101789150 136359050 144540593 152683725 204538575 289081186 305367450 409077150 433621779 722702965 867243558 1445405930 2168108895 3613514825 4336217790 7227029650 10840544475 21681088950