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42180459800 = 23521911100121
BaseRepresentation
bin100111010010001001…
…101011110100011000
311000212121222101000212
4213102021223310120
51142341144203200
631213305350252
73022161664313
oct472211536430
9130777871025
1042180459800
1116985851836
128212198388
133c92a31b6b
142081ddd97a
15116d144035
hex9d226bd18

42180459800 has 48 divisors (see below), whose sum is σ = 103231134600. Its totient is φ = 15984172800.

The previous prime is 42180459751. The next prime is 42180459821. The reversal of 42180459800 is 895408124.

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 11 ways as a sum of consecutive naturals, for example, 5546261 + ... + 5553860.

Almost surely, 242180459800 is an apocalyptic number.

42180459800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42180459800 is an abundant number, since it is smaller than the sum of its proper divisors (61050674800).

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

42180459800 is a wasteful number, since it uses less digits than its factorization.

42180459800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100156 (or 11100147 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 42180459800 in words is "forty-two billion, one hundred eighty million, four hundred fifty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 11100121 22200242 44400484 55500605 88800968 111001210 210902299 222002420 277503025 421804598 444004840 555006050 843609196 1054511495 1110012100 1687218392 2109022990 2220024200 4218045980 5272557475 8436091960 10545114950 21090229900 42180459800