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8199363060 = 22325725571669
BaseRepresentation
bin1111010001011100…
…00101100111110100
3210011102112210121100
413220232011213310
5113243014104220
63433340450100
7410121302400
oct75056054764
923142483540
108199363060
113528365909
121709b49930
13a08936525
1457ad62100
1532ec7ad90
hex1e8b859f4

8199363060 has 216 divisors, whose sum is σ = 29001346920. Its totient is φ = 1869654528.

The previous prime is 8199363019. The next prime is 8199363071. The reversal of 8199363060 is 603639918.

8199363060 is a `hidden beast` number, since 8 + 1 + 9 + 9 + 3 + 630 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75585636 + 8123777424 = 8694^2 + 90132^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 8199362997 and 8199363015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4911906 + ... + 4913574.

It is an arithmetic number, because the mean of its divisors is an integer number (134265495).

Almost surely, 28199363060 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 8199363060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500673460).

8199363060 is an abundant number, since it is smaller than the sum of its proper divisors (20801983860).

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

8199363060 is a wasteful number, since it uses less digits than its factorization.

8199363060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 8199363060 is about 90550.3344002660. The cubic root of 8199363060 is about 2016.4774621421.

The spelling of 8199363060 in words is "eight billion, one hundred ninety-nine million, three hundred sixty-three thousand, sixty".