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20886418300 = 22521161973209
BaseRepresentation
bin10011011100111011…
…010111001101111100
31222220121110222120011
4103130323113031330
5320233410341200
613332312233004
71336404424546
oct233473271574
958817428504
1020886418300
118948925230
12406a99b764
131c7b2273c7
141021d08696
158239b35ba
hex4dced737c

20886418300 has 144 divisors (see below), whose sum is σ = 50788311840. Its totient is φ = 7391232000.

The previous prime is 20886418283. The next prime is 20886418307. The reversal of 20886418300 is 381468802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20886418307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6507096 + ... + 6510304.

It is an arithmetic number, because the mean of its divisors is an integer number (352696610).

Almost surely, 220886418300 is an apocalyptic number.

20886418300 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 20886418300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25394155920).

20886418300 is an abundant number, since it is smaller than the sum of its proper divisors (29901893540).

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

20886418300 is a wasteful number, since it uses less digits than its factorization.

20886418300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 20886418300 in words is "twenty billion, eight hundred eighty-six million, four hundred eighteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 97 100 110 122 194 220 244 275 305 388 485 550 610 671 970 1067 1100 1220 1342 1525 1940 2134 2425 2684 3050 3209 3355 4268 4850 5335 5917 6100 6418 6710 9700 10670 11834 12836 13420 16045 16775 21340 23668 26675 29585 32090 33550 35299 53350 59170 64180 65087 67100 70598 80225 106700 118340 130174 141196 147925 160450 176495 195749 260348 295850 311273 320900 325435 352990 391498 591700 622546 650870 705980 782996 882475 978745 1245092 1301740 1556365 1627175 1764950 1957490 2153239 3112730 3254350 3424003 3529900 3914980 4306478 4893725 6225460 6508700 6848006 7781825 8612956 9787450 10766195 13696012 15563650 17120015 18987653 19574900 21532390 31127300 34240030 37975306 43064780 53830975 68480060 75950612 85600075 94938265 107661950 171200150 189876530 208864183 215323900 342400300 379753060 417728366 474691325 835456732 949382650 1044320915 1898765300 2088641830 4177283660 5221604575 10443209150 20886418300