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18941095200 = 253528778999
BaseRepresentation
bin10001101000111110…
…100010110100100000
31210220001000022221110
4101220332202310200
5302242410021300
612411301223320
71240243436616
oct215076426440
953801008843
1018941095200
11803a833195
123807401b40
131a2b1b5151
14cb98036b6
1575cd01550
hex468fa2d20

18941095200 has 144 divisors (see below), whose sum is σ = 61730424000. Its totient is φ = 5044638720.

The previous prime is 18941095189. The next prime is 18941095211. The reversal of 18941095200 is 259014981.

It is an interprime number because it is at equal distance from previous prime (18941095189) and next prime (18941095211).

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, 2100301 + ... + 2109299.

It is an arithmetic number, because the mean of its divisors is an integer number (428683500).

Almost surely, 218941095200 is an apocalyptic number.

18941095200 is a gapful number since it is divisible by the number (10) 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 18941095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30865212000).

18941095200 is an abundant number, since it is smaller than the sum of its proper divisors (42789328800).

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

18941095200 is a wasteful number, since it uses less digits than its factorization.

18941095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9899 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 18941095200 in words is "eighteen billion, nine hundred forty-one million, ninety-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 877 1200 1754 2400 2631 3508 4385 5262 7016 8770 8999 10524 13155 14032 17540 17998 21048 21925 26310 26997 28064 35080 35996 42096 43850 44995 52620 53994 65775 70160 71992 84192 87700 89990 105240 107988 131550 134985 140320 143984 175400 179980 210480 215976 224975 263100 269970 287968 350800 359960 420960 431952 449950 526200 539940 674925 701600 719920 863904 899900 1052400 1079880 1349850 1439840 1799800 2104800 2159760 2699700 3599600 4319520 5399400 7199200 7892123 10798800 15784246 21597600 23676369 31568492 39460615 47352738 63136984 78921230 94705476 118381845 126273968 157842460 189410952 197303075 236763690 252547936 315684920 378821904 394606150 473527380 591909225 631369840 757643808 789212300 947054760 1183818450 1262739680 1578424600 1894109520 2367636900 3156849200 3788219040 4735273800 6313698400 9470547600 18941095200