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20084433360 = 24351922719403
BaseRepresentation
bin10010101101001000…
…000010000111010000
31220211201101221001020
4102231020002013100
5312113103331420
613120543035440
71310465603205
oct225510020720
956751357036
1020084433360
118577159062
123a8629bb80
131b8102abc4
14d875c3cac
157c8398340
hex4ad2021d0

20084433360 has 160 divisors (see below), whose sum is σ = 65830786560. Its totient is φ = 5051349504.

The previous prime is 20084433337. The next prime is 20084433377. The reversal of 20084433360 is 6333448002.

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, 1025419 + ... + 1044821.

It is an arithmetic number, because the mean of its divisors is an integer number (411442416).

Almost surely, 220084433360 is an apocalyptic number.

20084433360 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 20084433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32915393280).

20084433360 is an abundant number, since it is smaller than the sum of its proper divisors (45746353200).

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

20084433360 is a wasteful number, since it uses less digits than its factorization.

20084433360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19665 (or 19659 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 20084433360 in words is "twenty billion, eighty-four million, four hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 227 228 240 285 304 380 454 456 570 681 760 908 912 1135 1140 1362 1520 1816 2270 2280 2724 3405 3632 4313 4540 4560 5448 6810 8626 9080 10896 12939 13620 17252 18160 19403 21565 25878 27240 34504 38806 43130 51756 54480 58209 64695 69008 77612 86260 97015 103512 116418 129390 155224 172520 194030 207024 232836 258780 291045 310448 345040 368657 388060 465672 517560 582090 737314 776120 931344 1035120 1105971 1164180 1474628 1552240 1843285 2211942 2328360 2949256 3686570 4404481 4423884 4656720 5529855 5898512 7373140 8808962 8847768 11059710 13213443 14746280 17617924 17695536 22022405 22119420 26426886 29492560 35235848 44044810 44238840 52853772 66067215 70471696 83685139 88089620 88477680 105707544 132134430 167370278 176179240 211415088 251055417 264268860 334740556 352358480 418425695 502110834 528537720 669481112 836851390 1004221668 1057075440 1255277085 1338962224 1673702780 2008443336 2510554170 3347405560 4016886672 5021108340 6694811120 10042216680 20084433360