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85806060032 = 29711217103113
BaseRepresentation
bin100111111101001110…
…0001001001000000000
322012110222020111001102
41033322130021020000
52401212322410112
6103230241353532
76125232322220
oct1177234111000
9265428214042
1085806060032
1133432313a00
12147683388a8
138125c889b4
14421dd02080
152373097bc2
hex13fa709200

85806060032 has 480 divisors, whose sum is σ = 232288632576. Its totient is φ = 30883184640.

The previous prime is 85806060023. The next prime is 85806060077. The reversal of 85806060032 is 23006060858.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759345608 + ... + 759345720.

Almost surely, 285806060032 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 85806060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116144316288).

85806060032 is an abundant number, since it is smaller than the sum of its proper divisors (146482572544).

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

85806060032 is a wasteful number, since it uses less digits than its factorization.

85806060032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 85806060032 in words is "eighty-five billion, eight hundred six million, sixty thousand, thirty-two".