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85487285700 = 223252891318147
BaseRepresentation
bin100111110011101110…
…0000111010111000100
322011122202102001212200
41033213130013113010
52400034221120300
6103134453114500
76114311640045
oct1174734072704
9264582361780
1085487285700
1133289387043
1214699628a30
1380a4c1662b
1441cd8428cc
1523550cb200
hex13e77075c4

85487285700 has 216 divisors, whose sum is σ = 273067835040. Its totient is φ = 22365657600.

The previous prime is 85487285683. The next prime is 85487285701. The reversal of 85487285700 is 758278458.

85487285700 is a `hidden beast` number, since 8 + 5 + 48 + 7 + 28 + 570 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (85487285701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10489027 + ... + 10497173.

It is an arithmetic number, because the mean of its divisors is an integer number (1264202940).

Almost surely, 285487285700 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 85487285700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533917520).

85487285700 is an abundant number, since it is smaller than the sum of its proper divisors (187580549340).

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

85487285700 is a wasteful number, since it uses less digits than its factorization.

85487285700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8387 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 85487285700 in words is "eighty-five billion, four hundred eighty-seven million, two hundred eighty-five thousand, seven hundred".