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8244063360 = 27345132941
BaseRepresentation
bin1111010110110001…
…00110110010000000
3210021112122210220000
413223120212302000
5113340440011420
63442014520000
7411203245101
oct75330466200
923245583800
108244063360
113550616905
121720b06000
13a14c87600
14582c7a3a8
15333b5a690
hex1eb626c80

8244063360 has 480 divisors, whose sum is σ = 31913820180. Its totient is φ = 2027151360.

The previous prime is 8244063343. The next prime is 8244063367. The reversal of 8244063360 is 633604428.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1159811136 + 7084252224 = 34056^2 + 84168^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8244063367) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8760490 + ... + 8761430.

Almost surely, 28244063360 is an apocalyptic number.

8244063360 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 8244063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956910090).

8244063360 is an abundant number, since it is smaller than the sum of its proper divisors (23669756820).

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

8244063360 is a wasteful number, since it uses less digits than its factorization.

8244063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 8244063360 is about 90796.8246140800. The cubic root of 8244063360 is about 2020.1352195205.

Adding to 8244063360 its reverse (633604428), we get a palindrome (8877667788).

The spelling of 8244063360 in words is "eight billion, two hundred forty-four million, sixty-three thousand, three hundred sixty".