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18938472200 = 23523722632
BaseRepresentation
bin10001101000110100…
…100010011100001000
31210212212002001212022
4101220310202130020
5302241222102300
612411125104012
71240212233444
oct215064423410
953785061768
1018938472200
11803930151a
123806558008
131a2a7a728b
14cb931d824
1575c984285
hex468d22708

18938472200 has 108 divisors (see below), whose sum is σ = 45426887415. Its totient is φ = 7342623360.

The previous prime is 18938472193. The next prime is 18938472221. The reversal of 18938472200 is 227483981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 15020463364 + 3918008836 = 122558^2 + 62594^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=97310.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72009269 + ... + 72009531.

Almost surely, 218938472200 is an apocalyptic number.

18938472200 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 18938472200

18938472200 is an abundant number, since it is smaller than the sum of its proper divisors (26488415215).

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

18938472200 is an equidigital number, since it uses as much as digits as its factorization.

18938472200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 18938472200 in words is "eighteen billion, nine hundred thirty-eight million, four hundred seventy-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 263 296 370 526 740 925 1052 1315 1369 1480 1850 2104 2630 2738 3700 5260 5476 6575 6845 7400 9731 10520 10952 13150 13690 19462 26300 27380 34225 38924 48655 52600 54760 68450 69169 77848 97310 136900 138338 194620 243275 273800 276676 345845 360047 389240 486550 553352 691690 720094 973100 1383380 1440188 1729225 1800235 1946200 2559253 2766760 2880376 3458450 3600470 5118506 6916900 7200940 9001175 10237012 12796265 13833800 14401880 18002350 20474024 25592530 36004700 51185060 63981325 72009400 94692361 102370120 127962650 189384722 255925300 378769444 473461805 511850600 757538888 946923610 1893847220 2367309025 3787694440 4734618050 9469236100 18938472200