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21684405720 = 2335191946091
BaseRepresentation
bin10100001100011111…
…011100010111011000
32001222020000221111210
4110030133130113120
5323402201440340
613543420023120
71365234256515
oct241437342730
961866027453
1021684405720
119218310a6a
124252091aa0
132077654203
141099cac30c
1586da8e180
hex50c7dc5d8

21684405720 has 64 divisors (see below), whose sum is σ = 65393879040. Its totient is φ = 5752227200.

The previous prime is 21684405713. The next prime is 21684405779. The reversal of 21684405720 is 2750448612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450126 + ... + 495965.

It is an arithmetic number, because the mean of its divisors is an integer number (1021779360).

Almost surely, 221684405720 is an apocalyptic number.

21684405720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21684405720 is an abundant number, since it is smaller than the sum of its proper divisors (43709473320).

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

21684405720 is a wasteful number, since it uses less digits than its factorization.

21684405720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946296 (or 946292 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 21684405720 in words is "twenty-one billion, six hundred eighty-four million, four hundred five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 946091 1892182 2838273 3784364 4730455 5676546 7568728 9460910 11353092 14191365 18921820 22706184 28382730 37843640 56765460 113530920 180703381 361406762 542110143 722813524 903516905 1084220286 1445627048 1807033810 2168440572 2710550715 3614067620 4336881144 5421101430 7228135240 10842202860 21684405720