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20821240080 = 2433514716553
BaseRepresentation
bin10011011001000010…
…101110100100010000
31222202001211120212000
4103121002232210100
5320120214140310
613322023234000
71334653422564
oct233102564420
958661746760
1020821240080
118915057933
124050ba8900
131c6a886504
1410173bd6a4
1581cddb4c0
hex4d90ae910

20821240080 has 160 divisors (see below), whose sum is σ = 71777310720. Its totient is φ = 5547709440.

The previous prime is 20821240031. The next prime is 20821240081. The reversal of 20821240080 is 8004212802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20821240081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3174084 + ... + 3180636.

It is an arithmetic number, because the mean of its divisors is an integer number (448608192).

Almost surely, 220821240080 is an apocalyptic number.

20821240080 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 20821240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35888655360).

20821240080 is an abundant number, since it is smaller than the sum of its proper divisors (50956070640).

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

20821240080 is a wasteful number, since it uses less digits than its factorization.

20821240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 20821240080 its reverse (8004212802), we get a palindrome (28825452882).

The spelling of 20821240080 in words is "twenty billion, eight hundred twenty-one million, two hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1471 2160 2942 4413 5884 6553 7355 8826 11768 13106 13239 14710 17652 19659 22065 23536 26212 26478 29420 32765 35304 39318 39717 44130 52424 52956 58840 58977 65530 66195 70608 78636 79434 88260 98295 104848 105912 117680 117954 131060 132390 157272 158868 176520 176931 196590 198585 211824 235908 262120 264780 294885 314544 317736 353040 353862 393180 397170 471816 524240 529560 589770 635472 707724 786360 794340 884655 943632 1059120 1179540 1415448 1572720 1588680 1769310 2359080 2830896 3177360 3538620 4718160 7077240 9639463 14154480 19278926 28918389 38557852 48197315 57836778 77115704 86755167 96394630 115673556 144591945 154231408 173510334 192789260 231347112 260265501 289183890 347020668 385578520 433775835 462694224 520531002 578367780 694041336 771157040 867551670 1041062004 1156735560 1301327505 1388082672 1735103340 2082124008 2313471120 2602655010 3470206680 4164248016 5205310020 6940413360 10410620040 20821240080