Search a number
-
+
8369806464 = 2737291031
BaseRepresentation
bin1111100101110000…
…10001110010000000
3210121022021020000000
413302320101302000
5114120132301324
63502310000000
7414261116055
oct76270216200
923538236000
108369806464
1136055a0528
121757046000
13a35042606
1459584d02c
1533ebe79c9
hex1f2e11c80

8369806464 has 256 divisors, whose sum is σ = 25894944000. Its totient is φ = 2691118080.

The previous prime is 8369806463. The next prime is 8369806499. The reversal of 8369806464 is 4646089638.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8369806464.

It is not an unprimeable number, because it can be changed into a prime (8369806463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8117629 + ... + 8118659.

It is an arithmetic number, because the mean of its divisors is an integer number (101152125).

Almost surely, 28369806464 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 8369806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947472000).

8369806464 is an abundant number, since it is smaller than the sum of its proper divisors (17525137536).

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

8369806464 is an equidigital number, since it uses as much as digits as its factorization.

8369806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 8369806464 is about 91486.6463698391. The cubic root of 8369806464 is about 2030.3541863814.

The spelling of 8369806464 in words is "eight billion, three hundred sixty-nine million, eight hundred six thousand, four hundred sixty-four".