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21412198132836 = 223721371019260849
BaseRepresentation
bin1001101111001011010100…
…11101101010110001100100
32210210222121220101122122020
410313211222131222301210
510301304140210222321
6113312343353103140
74336660142055300
oct467455235526144
983728556348566
1021412198132836
1169059536a4045
1224999b19b7ab0
13bc4214104894
145404da8dcd00
15271ea8d524c6
hex13796a76ac64

21412198132836 has 144 divisors (see below), whose sum is σ = 58600724616000. Its totient is φ = 6067132495872.

The previous prime is 21412198132823. The next prime is 21412198132841. The reversal of 21412198132836 is 63823189121412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81956140 + ... + 82216988.

It is an arithmetic number, because the mean of its divisors is an integer number (406949476500).

Almost surely, 221412198132836 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 21412198132836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29300362308000).

21412198132836 is an abundant number, since it is smaller than the sum of its proper divisors (37188526483164).

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

21412198132836 is a wasteful number, since it uses less digits than its factorization.

21412198132836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262026 (or 262017 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The spelling of 21412198132836 in words is "twenty-one trillion, four hundred twelve billion, one hundred ninety-eight million, one hundred thirty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 137 147 196 274 294 411 548 588 822 959 1019 1644 1918 2038 2877 3057 3836 4076 5754 6114 6713 7133 11508 12228 13426 14266 20139 21399 26852 28532 40278 42798 49931 80556 85596 99862 139603 149793 199724 260849 279206 299586 418809 521698 558412 599172 782547 837618 977221 1043396 1565094 1675236 1825943 1954442 2931663 3130188 3651886 3908884 5477829 5863326 6840547 7303772 10955658 11726652 12781601 13681094 20521641 21911316 25563202 27362188 35736313 38344803 41043282 51126404 71472626 76689606 82086564 107208939 142945252 153379212 214417878 250154191 265805131 428835756 500308382 531610262 750462573 797415393 1000616764 1063220524 1500925146 1594830786 1751079337 1860635917 3001850292 3189661572 3502158674 3721271834 5253238011 5581907751 7004317348 7442543668 10506476022 11163815502 13024451419 21012952044 22327631004 26048902838 36415302947 39073354257 52097805676 72830605894 78146708514 109245908841 145661211788 156293417028 218491817682 254907120629 436983635364 509814241258 764721361887 1019628482516 1529442723774 1784349844403 3058885447548 3568699688806 5353049533209 7137399377612 10706099066418 21412198132836