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21444066060 = 2235537978461
BaseRepresentation
bin10011111110001010…
…100111101100001100
32001100110210102110220
4103332022213230030
5322404140103220
613503512431340
71356255361014
oct237612475414
961313712426
1021444066060
11910468624a
1241a56a8550
1320399148b1
141075dc8c44
15857917540
hex4fe2a7b0c

21444066060 has 96 divisors (see below), whose sum is σ = 61260276672. Its totient is φ = 5602821120.

The previous prime is 21444066023. The next prime is 21444066071. The reversal of 21444066060 is 6066044412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2530230 + ... + 2538690.

It is an arithmetic number, because the mean of its divisors is an integer number (638127882).

Almost surely, 221444066060 is an apocalyptic number.

21444066060 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 21444066060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30630138336).

21444066060 is an abundant number, since it is smaller than the sum of its proper divisors (39816210612).

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

21444066060 is a wasteful number, since it uses less digits than its factorization.

21444066060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 21444066060 in words is "twenty-one billion, four hundred forty-four million, sixty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 797 1060 1590 1594 2391 3180 3188 3985 4782 7970 8461 9564 11955 15940 16922 23910 25383 33844 42241 42305 47820 50766 84482 84610 101532 126723 126915 168964 169220 211205 253446 253830 422410 448433 506892 507660 633615 844820 896866 1267230 1345299 1793732 2242165 2534460 2690598 4484330 5381196 6726495 6743417 8968660 13452990 13486834 20230251 26905980 26973668 33717085 40460502 67434170 80921004 101151255 134868340 202302510 357401101 404605020 714802202 1072203303 1429604404 1787005505 2144406606 3574011010 4288813212 5361016515 7148022020 10722033030 21444066060