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21661987920 = 2435474014789
BaseRepresentation
bin10100001011001001…
…111011010001010000
32001220122212000001220
4110023021323101100
5323330432103140
613541255325040
71364542600506
oct241311732120
961818760056
1021661987920
11920669a161
124246680780
132072b05441
141096d14676
1586bb11bd0
hex50b27b450

21661987920 has 160 divisors (see below), whose sum is σ = 68766312960. Its totient is φ = 5638348800.

The previous prime is 21661987901. The next prime is 21661987931. The reversal of 21661987920 is 2978916612.

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, 4520886 + ... + 4525674.

It is an arithmetic number, because the mean of its divisors is an integer number (429789456).

Almost surely, 221661987920 is an apocalyptic number.

21661987920 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 21661987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34383156480).

21661987920 is an abundant number, since it is smaller than the sum of its proper divisors (47104325040).

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

21661987920 is a wasteful number, since it uses less digits than its factorization.

21661987920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 21661987920 in words is "twenty-one billion, six hundred sixty-one million, nine hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 401 470 564 705 752 802 940 1128 1203 1410 1604 1880 2005 2256 2406 2820 3208 3760 4010 4789 4812 5640 6015 6416 8020 9578 9624 11280 12030 14367 16040 18847 19156 19248 23945 24060 28734 32080 37694 38312 47890 48120 56541 57468 71835 75388 76624 94235 95780 96240 113082 114936 143670 150776 188470 191560 225083 226164 229872 282705 287340 301552 376940 383120 450166 452328 565410 574680 675249 753880 900332 904656 1125415 1130820 1149360 1350498 1507760 1800664 1920389 2250830 2261640 2700996 3376245 3601328 3840778 4501660 4523280 5401992 5761167 6752490 7681556 9003320 9601945 10803984 11522334 13504980 15363112 18006640 19203890 23044668 27009960 28805835 30726224 38407780 46089336 54019920 57611670 76815560 90258283 92178672 115223340 153631120 180516566 230446680 270774849 361033132 451291415 460893360 541549698 722066264 902582830 1083099396 1353874245 1444132528 1805165660 2166198792 2707748490 3610331320 4332397584 5415496980 7220662640 10830993960 21661987920