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85747403196 = 2236721325367
BaseRepresentation
bin100111111011011110…
…0011000100110111100
322012022212212102000000
41033312330120212330
52401102313400241
6103220344234300
76123620621100
oct1176674304674
9265285772000
1085747403196
11334021a0184
121475076b990
138116a8c200
1442161d3900
15236cd5ceb6
hex13f6f189bc

85747403196 has 756 divisors, whose sum is σ = 293053437432. Its totient is φ = 21856843008.

The previous prime is 85747403191. The next prime is 85747403213. The reversal of 85747403196 is 69130474758.

85747403196 is a `hidden beast` number, since 8 + 5 + 7 + 47 + 403 + 196 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85747403191) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1279811955 + ... + 1279812021.

It is an arithmetic number, because the mean of its divisors is an integer number (387636822).

Almost surely, 285747403196 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 85747403196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146526718716).

85747403196 is an abundant number, since it is smaller than the sum of its proper divisors (207306034236).

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

85747403196 is a wasteful number, since it uses less digits than its factorization.

85747403196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 85747403196 in words is "eighty-five billion, seven hundred forty-seven million, four hundred three thousand, one hundred ninety-six".