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19883216880 = 2433537248789
BaseRepresentation
bin10010100001001000…
…011100111111110000
31220022200210001221000
4102201020130333300
5311210100420010
613044554202000
71302503361222
oct224110347760
956280701830
1019883216880
11848361514a
123a2aa23300
131b4b438cb7
14d689a6412
157b589d7c0
hex4a121cff0

19883216880 has 160 divisors (see below), whose sum is σ = 70337908800. Its totient is φ = 5158867968.

The previous prime is 19883216863. The next prime is 19883216891. The reversal of 19883216880 is 8861238891.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 44475 + ... + 204314.

It is an arithmetic number, because the mean of its divisors is an integer number (439611930).

Almost surely, 219883216880 is an apocalyptic number.

19883216880 is a gapful number since it is divisible by the number (10) 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 19883216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35168954400).

19883216880 is an abundant number, since it is smaller than the sum of its proper divisors (50454691920).

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

19883216880 is a wasteful number, since it uses less digits than its factorization.

19883216880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248848 (or 248836 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 19883216880 in words is "nineteen billion, eight hundred eighty-three million, two hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1332 1480 1665 1776 1998 2160 2220 2664 2960 3330 3996 4440 4995 5328 6660 7992 8880 9990 13320 15984 19980 26640 39960 79920 248789 497578 746367 995156 1243945 1492734 1990312 2239101 2487890 2985468 3731835 3980624 4478202 4975780 5970936 6717303 7463670 8956404 9205193 9951560 11195505 11941872 13434606 14927340 17912808 18410386 19903120 22391010 26869212 27615579 29854680 33586515 35825616 36820772 44782020 46025965 53738424 55231158 59709360 67173030 73641544 82846737 89564040 92051930 107476848 110462316 134346060 138077895 147283088 165693474 179128080 184103860 220924632 248540211 268692120 276155790 331386948 368207720 414233685 441849264 497080422 537384240 552311580 662773896 736415440 828467370 994160844 1104623160 1242701055 1325547792 1656934740 1988321688 2209246320 2485402110 3313869480 3976643376 4970804220 6627738960 9941608440 19883216880