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21280482384 = 2437713372647
BaseRepresentation
bin10011110100011010…
…100110010001010000
32000221001222111212020
4103310122212101100
5322040300414014
613435350331440
71352231054460
oct236432462120
960831874766
1021280482384
119030306427
12415a959b80
132011a6ac15
14105c3a5ba0
158483a31a9
hex4f46a6450

21280482384 has 160 divisors (see below), whose sum is σ = 63926194176. Its totient is φ = 5974456320.

The previous prime is 21280482367. The next prime is 21280482407. The reversal of 21280482384 is 48328408212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8038149 + ... + 8040795.

Almost surely, 221280482384 is an apocalyptic number.

21280482384 is a gapful number since it is divisible by the number (24) 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 21280482384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31963097088).

21280482384 is an abundant number, since it is smaller than the sum of its proper divisors (42645711792).

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

21280482384 is a wasteful number, since it uses less digits than its factorization.

21280482384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 21280482384 in words is "twenty-one billion, two hundred eighty million, four hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 337 426 497 568 674 852 994 1011 1136 1348 1491 1704 1988 2022 2359 2647 2696 2982 3408 3976 4044 4718 5294 5392 5964 7077 7941 7952 8088 9436 10588 11928 14154 15882 16176 18529 18872 21176 23856 23927 28308 31764 37058 37744 42352 47854 55587 56616 63528 71781 74116 95708 111174 113232 127056 143562 148232 167489 187937 191416 222348 287124 296464 334978 375874 382832 444696 502467 563811 574248 669956 751748 889392 892039 1004934 1127622 1148496 1315559 1339912 1503496 1784078 2009868 2255244 2631118 2676117 2679824 3006992 3568156 3946677 4019736 4510488 5262236 5352234 6244273 7136312 7893354 8039472 9020976 10524472 10704468 12488546 14272624 15786708 18732819 21048944 21408936 24977092 31573416 37465638 42817872 49954184 63146832 63334769 74931276 99908368 126669538 149862552 190004307 253339076 299725104 380008614 443343383 506678152 760017228 886686766 1013356304 1330030149 1520034456 1773373532 2660060298 3040068912 3546747064 5320120596 7093494128 10640241192 21280482384