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21443453513200 = 2452107829604361
BaseRepresentation
bin1001110000000101100010…
…11011011110110111110000
32210220222022010220111010101
410320002301123132313300
510302312143044410300
6113334553032242144
74342144524316225
oct470026133366760
983828263814111
1021443453513200
116918132529a04
1224a3a75240354
13bc71555b14a4
14541c2397194c
15272bd7ca5b6a
hex1380b16dedf0

21443453513200 has 120 divisors (see below), whose sum is σ = 52062184302480. Its totient is φ = 8486954956800.

The previous prime is 21443453513113. The next prime is 21443453513203. The reversal of 21443453513200 is 231535434412.

It is a self number, because there is not a number n which added to its sum of digits gives 21443453513200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21443453513203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35179020 + ... + 35783380.

It is an arithmetic number, because the mean of its divisors is an integer number (433851535854).

Almost surely, 221443453513200 is an apocalyptic number.

21443453513200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21443453513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26031092151240).

21443453513200 is an abundant number, since it is smaller than the sum of its proper divisors (30618730789280).

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

21443453513200 is a wasteful number, since it uses less digits than its factorization.

21443453513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605315 (or 605304 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 21443453513200 its reverse (231535434412), we get a palindrome (21674988947612).

The spelling of 21443453513200 in words is "twenty-one trillion, four hundred forty-three billion, four hundred fifty-three million, five hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 829 856 1070 1658 1712 2140 2675 3316 4145 4280 5350 6632 8290 8560 10700 13264 16580 20725 21400 33160 41450 42800 66320 82900 88703 165800 177406 331600 354812 443515 604361 709624 887030 1208722 1419248 1774060 2217575 2417444 3021805 3548120 4435150 4834888 6043610 7096240 8870300 9669776 12087220 15109025 17740600 24174440 30218050 35481200 48348880 60436100 64666627 120872200 129333254 241744400 258666508 323333135 501015269 517333016 646666270 1002030538 1034666032 1293332540 1616665675 2004061076 2505076345 2586665080 3233331350 4008122152 5010152690 5173330160 6466662700 8016244304 10020305380 12525381725 12933325400 20040610760 25050763450 25866650800 40081221520 50101526900 53608633783 100203053800 107217267566 200406107600 214434535132 268043168915 428869070264 536086337830 857738140528 1072172675660 1340215844575 2144345351320 2680431689150 4288690702640 5360863378300 10721726756600 21443453513200