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94085342208 = 21033111353449
BaseRepresentation
bin101011110011111101…
…1000110010000000000
322222211222011121002000
41113213323012100000
53020141321422313
6111115555224000
76540344133144
oct1274773062000
9288758147060
1094085342208
11369a07a5170
1216298ba8000
138b45324830
1447a7709224
1526a9d5d673
hex15e7ec6400

94085342208 has 704 divisors, whose sum is σ = 334266912000. Its totient is φ = 25763512320.

The previous prime is 94085342201. The next prime is 94085342227. The reversal of 94085342208 is 80224358049.

94085342208 is a `hidden beast` number, since 9 + 408 + 5 + 34 + 2 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is not an unprimeable number, because it can be changed into a prime (94085342201) by changing a digit.

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, 209543968 + ... + 209544416.

Almost surely, 294085342208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94085342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167133456000).

94085342208 is an abundant number, since it is smaller than the sum of its proper divisors (240181569792).

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

94085342208 is a wasteful number, since it uses less digits than its factorization.

94085342208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 94085342208 in words is "ninety-four billion, eighty-five million, three hundred forty-two thousand, two hundred eight".