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85750169472 = 27321117398053
BaseRepresentation
bin100111111011100011…
…0111011111110000000
322012100002001221121200
41033313012323332000
52401104020410342
6103220523421200
76123653262042
oct1176706737600
9265302057550
1085750169472
113340380a560
1214751684800
13811751a366
144216713a92
15236d20794c
hex13f71bbf80

85750169472 has 192 divisors, whose sum is σ = 285022586160. Its totient is φ = 24456314880.

The previous prime is 85750169443. The next prime is 85750169551. The reversal of 85750169472 is 27496105758.

85750169472 is a `hidden beast` number, since 8 + 5 + 7 + 5 + 0 + 169 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16398 + ... + 414450.

Almost surely, 285750169472 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 85750169472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142511293080).

85750169472 is an abundant number, since it is smaller than the sum of its proper divisors (199272416688).

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

85750169472 is a wasteful number, since it uses less digits than its factorization.

85750169472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398101 (or 398086 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 85750169472 in words is "eighty-five billion, seven hundred fifty million, one hundred sixty-nine thousand, four hundred seventy-two".