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21204241443424 = 2513373346339461
BaseRepresentation
bin1001101001000111111110…
…10001110110101001100000
32210002002212001012021012101
410310203333101312221200
510234402241302142144
6113033032151340144
74315645604265124
oct464437721665140
983062761167171
1021204241443424
116835739557376
122465635681654
13baa722527c80
1453440dbc9584
1526b8870da6d4
hex1348ff476a60

21204241443424 has 96 divisors (see below), whose sum is σ = 45091757519424. Its totient is φ = 9757269780480.

The previous prime is 21204241443379. The next prime is 21204241443433. The reversal of 21204241443424 is 42434414240212.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 537327054 + ... + 537366514.

It is an arithmetic number, because the mean of its divisors is an integer number (469705807494).

Almost surely, 221204241443424 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 21204241443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22545878759712).

21204241443424 is an abundant number, since it is smaller than the sum of its proper divisors (23887516076000).

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

21204241443424 is a wasteful number, since it uses less digits than its factorization.

21204241443424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43320 (or 43312 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 21204241443424 its reverse (42434414240212), we get a palindrome (63638655683636).

The spelling of 21204241443424 in words is "twenty-one trillion, two hundred four billion, two hundred forty-one million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 373 416 746 1492 2984 3463 4849 5968 6926 9698 11936 13852 19396 27704 38792 39461 45019 55408 77584 78922 90038 110816 155168 157844 180076 315688 360152 512993 631376 720304 1025986 1262752 1291699 1440608 2051972 2583398 4103944 5166796 8207888 10333592 14718953 16415776 16792087 20667184 29437906 33584174 41334368 58875812 67168348 117751624 134336696 136653443 191346389 235503248 268673392 273306886 382692778 471006496 537346784 546613772 765385556 1093227544 1530771112 1776494759 2186455088 3061542224 3552989518 4372910176 6123084448 7105979036 14211958072 28423916144 50971734239 56847832288 101943468478 203886936956 407773873912 662632545107 815547747824 1325265090214 1631095495648 2650530180428 5301060360856 10602120721712 21204241443424