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42375499200 = 2632525949877
BaseRepresentation
bin100111011101110001…
…101100110111000000
311001101012222101210100
4213131301230313000
51143241111433300
631244514002400
73030050541306
oct473561546700
9131335871710
1042375499200
1116a75956821
128267576400
133cc42702a8
14209dc90276
15118031d700
hex9ddc6cdc0

42375499200 has 252 divisors, whose sum is σ = 153168355080. Its totient is φ = 11108382720.

The previous prime is 42375499147. The next prime is 42375499211. The reversal of 42375499200 is 299457324.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 824662 + ... + 874538.

Almost surely, 242375499200 is an apocalyptic number.

42375499200 is a gapful number since it is divisible by the number (40) 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 42375499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76584177540).

42375499200 is an abundant number, since it is smaller than the sum of its proper divisors (110792855880).

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

42375499200 is a wasteful number, since it uses less digits than its factorization.

42375499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49964 (or 49946 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 42375499200 in words is "forty-two billion, three hundred seventy-five million, four hundred ninety-nine thousand, two hundred".