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86236206080 = 210525765537
BaseRepresentation
bin101000001010000010…
…1000001010000000000
322020120221122011111112
41100110011001100000
52403102432043310
6103341045102452
76142004441303
oct1202405012000
9266527564445
1086236206080
11336330aa002
12148683b7a28
13819412389b
1442610b2b3a
15239ac13705
hex1414141400

86236206080 has 88 divisors (see below), whose sum is σ = 207673930728. Its totient is φ = 34359738368.

The previous prime is 86236206071. The next prime is 86236206113. The reversal of 86236206080 is 8060263268.

It can be written as a sum of positive squares in 4 ways, for example, as 64199397376 + 22036808704 = 253376^2 + 148448^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 86236206080 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1283072 + ... + 1348608.

It is an arithmetic number, because the mean of its divisors is an integer number (2359931031).

Almost surely, 286236206080 is an apocalyptic number.

86236206080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86236206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103836965364).

86236206080 is an abundant number, since it is smaller than the sum of its proper divisors (121437724648).

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

86236206080 is a wasteful number, since it uses less digits than its factorization.

86236206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65819 (or 65801 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 86236206080 in words is "eighty-six billion, two hundred thirty-six million, two hundred six thousand, eighty".