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21384009360 = 2432574242859
BaseRepresentation
bin10011111010100101…
…100001011010010000
32001012021210020011200
4103322211201122100
5322243301244420
613453525311200
71354626036420
oct237245413220
961167706150
1021384009360
11908379680a
124189565500
13202a347b9c
14106c034480
15852502b90
hex4fa961690

21384009360 has 120 divisors (see below), whose sum is σ = 82073883840. Its totient is φ = 4887772416.

The previous prime is 21384009359. The next prime is 21384009389. The reversal of 21384009360 is 6390048312.

21384009360 is a `hidden beast` number, since 213 + 8 + 400 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2116390 + ... + 2126469.

It is an arithmetic number, because the mean of its divisors is an integer number (683949032).

Almost surely, 221384009360 is an apocalyptic number.

21384009360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21384009360 is an abundant number, since it is smaller than the sum of its proper divisors (60689874480).

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

21384009360 is a wasteful number, since it uses less digits than its factorization.

21384009360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242885 (or 4242876 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21384009360 in words is "twenty-one billion, three hundred eighty-four million, nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 4242859 8485718 12728577 16971436 21214295 25457154 29700013 33942872 38185731 42428590 50914308 59400026 63642885 67885744 76371462 84857180 89100039 101828616 118800052 127285770 148500065 152742924 169714360 178200078 190928655 203657232 237600104 254571540 267300117 297000130 305485848 339428720 356400156 381857310 445500195 475200208 509143080 534600234 594000260 610971696 712800312 763714620 891000390 1018286160 1069200468 1188000520 1336500585 1425600624 1527429240 1782000780 2138400936 2376001040 2673001170 3054858480 3564001560 4276801872 5346002340 7128003120 10692004680 21384009360