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81824018000 = 24532367139191
BaseRepresentation
bin100110000110100010…
…1110110111001010000
321211012110022210022012
41030031011312321100
52320033422034000
6101331152402052
75624450451224
oct1141505667120
9254173283265
1081824018000
113177958587a
1213a36846328
13793ccb40ca
143d63104784
1521dd6bd735
hex130d176e50

81824018000 has 320 divisors, whose sum is σ = 212146421760. Its totient is φ = 30457152000.

The previous prime is 81824017999. The next prime is 81824018051. The reversal of 81824018000 is 81042818.

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 63 ways as a sum of consecutive naturals, for example, 428397905 + ... + 428398095.

It is an arithmetic number, because the mean of its divisors is an integer number (662957568).

Almost surely, 281824018000 is an apocalyptic number.

81824018000 is a gapful number since it is divisible by the number (80) 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 81824018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106073210880).

81824018000 is an abundant number, since it is smaller than the sum of its proper divisors (130322403760).

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

81824018000 is a wasteful number, since it uses less digits than its factorization.

81824018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 81824018000 in words is "eighty-one billion, eight hundred twenty-four million, eighteen thousand".