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20743216800 = 2535215755051
BaseRepresentation
bin10011010100011001…
…000101111010100000
31222112122000121000220
4103110121011322200
5314440230414200
613310155043040
71333015301505
oct232431057240
958478017026
1020743216800
118885006889
12402aa40480
131c57668aa7
14100acad4ac
158161284a0
hex4d4645ea0

20743216800 has 144 divisors (see below), whose sum is σ = 67950463392. Its totient is φ = 5496192000.

The previous prime is 20743216789. The next prime is 20743216829. The reversal of 20743216800 is 861234702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349275 + ... + 404325.

It is an arithmetic number, because the mean of its divisors is an integer number (471878218).

Almost surely, 220743216800 is an apocalyptic number.

20743216800 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 20743216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33975231696).

20743216800 is an abundant number, since it is smaller than the sum of its proper divisors (47207246592).

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

20743216800 is a wasteful number, since it uses less digits than its factorization.

20743216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55231 (or 55218 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 20743216800 in words is "twenty billion, seven hundred forty-three million, two hundred sixteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 157 160 200 240 300 314 400 471 480 600 628 785 800 942 1200 1256 1570 1884 2355 2400 2512 3140 3768 3925 4710 5024 6280 7536 7850 9420 11775 12560 15072 15700 18840 23550 25120 31400 37680 47100 55051 62800 75360 94200 110102 125600 165153 188400 220204 275255 330306 376800 440408 550510 660612 825765 880816 1101020 1321224 1376275 1651530 1761632 2202040 2642448 2752550 3303060 4128825 4404080 5284896 5505100 6606120 8257650 8643007 8808160 11010200 13212240 16515300 17286014 22020400 25929021 26424480 33030600 34572028 43215035 44040800 51858042 66061200 69144056 86430070 103716084 129645105 132122400 138288112 172860140 207432168 216075175 259290210 276576224 345720280 414864336 432150350 518580420 648225525 691440560 829728672 864300700 1037160840 1296451050 1382881120 1728601400 2074321680 2592902100 3457202800 4148643360 5185804200 6914405600 10371608400 20743216800