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21244523412 = 2237435999689
BaseRepresentation
bin10011110010010001…
…011011001110010100
32000211120022121102110
4103302101123032110
5322002044222122
613432023511020
71351313320020
oct236221331624
960746277373
1021244523412
119011a85972
12414a8b8470
13200748a818
1410576c5380
1584514d90c
hex4f245b394

21244523412 has 96 divisors (see below), whose sum is σ = 58952678400. Its totient is φ = 5828159232.

The previous prime is 21244523389. The next prime is 21244523423. The reversal of 21244523412 is 21432544212.

It is a happy number.

It is a super-2 number, since 2×212445234122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21244523412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163264 + ... + 262952.

It is an arithmetic number, because the mean of its divisors is an integer number (614090400).

Almost surely, 221244523412 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 21244523412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29476339200).

21244523412 is an abundant number, since it is smaller than the sum of its proper divisors (37708154988).

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

21244523412 is a wasteful number, since it uses less digits than its factorization.

21244523412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99805 (or 99803 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

It can be divided in two parts, 2124 and 4523412, that added together give a triangular number (4525536 = T3008).

The spelling of 21244523412 in words is "twenty-one billion, two hundred forty-four million, five hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 59 84 86 118 129 172 177 236 258 301 354 413 516 602 708 826 903 1204 1239 1652 1806 2478 2537 3612 4956 5074 7611 10148 15222 17759 30444 35518 53277 71036 99689 106554 199378 213108 299067 398756 598134 697823 1196268 1395646 2093469 2791292 4186938 4286627 5881651 8373876 8573254 11763302 12859881 17146508 17644953 23526604 25719762 30006389 35289906 41171557 51439524 60012778 70579812 82343114 90019167 120025556 123514671 164686228 180038334 247029342 252910993 360076668 494058684 505821986 758732979 1011643972 1517465958 1770376951 3034931916 3540753902 5311130853 7081507804 10622261706 21244523412