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42550261200 = 2433523939839
BaseRepresentation
bin100111101000001100…
…010111010111010000
311001211101211020012000
4213220030113113100
51144120331324300
631314115434000
73034302152436
oct475014272720
9131741736160
1042550261200
1117055571027
1282b5bb5900
13402152bc65
1420b9182d56
15119083ec00
hex9e83175d0

42550261200 has 120 divisors (see below), whose sum is σ = 151447449600. Its totient is φ = 11346733440.

The previous prime is 42550261147. The next prime is 42550261217. The reversal of 42550261200 is 216205524.

42550261200 is a `hidden beast` number, since 42 + 5 + 5 + 0 + 2 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1959120 + ... + 1980719.

It is an arithmetic number, because the mean of its divisors is an integer number (1262062080).

Almost surely, 242550261200 is an apocalyptic number.

42550261200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42550261200 is an abundant number, since it is smaller than the sum of its proper divisors (108897188400).

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

42550261200 is a wasteful number, since it uses less digits than its factorization.

42550261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939866 (or 3939849 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 42550261200 its reverse (216205524), we get a palindrome (42766466724).

The spelling of 42550261200 in words is "forty-two billion, five hundred fifty million, two hundred sixty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 3939839 7879678 11819517 15759356 19699195 23639034 31518712 35458551 39398390 47278068 59097585 63037424 70917102 78796780 94556136 98495975 106375653 118195170 141834204 157593560 177292755 189112272 196991950 212751306 236390340 283668408 295487925 315187120 354585510 393983900 425502612 472780680 531878265 567336816 590975850 709171020 787967800 851005224 886463775 945561360 1063756530 1181951700 1418342040 1575935600 1702010448 1772927550 2127513060 2363903400 2659391325 2836684080 3545855100 4255026120 4727806800 5318782650 7091710200 8510052240 10637565300 14183420400 21275130600 42550261200