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85003423120 = 245711171994079
BaseRepresentation
bin100111100101010011…
…0010100110110010000
322010102000221022012101
41033022212110312100
52343041334014440
6103014450210144
76066315114010
oct1171246246620
9263360838171
1085003423120
1133060241a10
1214583583954
1380288c1805
14418548bc40
15232789e69a
hex13ca994d90

85003423120 has 320 divisors, whose sum is σ = 262268928000. Its totient is φ = 24804679680.

The previous prime is 85003423097. The next prime is 85003423157. The reversal of 85003423120 is 2132430058.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 20837241 + ... + 20841319.

It is an arithmetic number, because the mean of its divisors is an integer number (819590400).

Almost surely, 285003423120 is an apocalyptic number.

85003423120 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 85003423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131134464000).

85003423120 is an abundant number, since it is smaller than the sum of its proper divisors (177265504880).

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

85003423120 is a wasteful number, since it uses less digits than its factorization.

85003423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 85003423120 its reverse (2132430058), we get a palindrome (87135853178).

The spelling of 85003423120 in words is "eighty-five billion, three million, four hundred twenty-three thousand, one hundred twenty".