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8563242240 = 2837571923
BaseRepresentation
bin1111111100110100…
…01011010100000000
3211002210020210000000
413332122023110000
5120014142222430
63533420000000
7422130233550
oct77632132400
924083223000
108563242240
1136a47aa703
1217ab990000
13a6613bb57
145b3403160
15351ba6e60
hex1fe68b500

8563242240 has 1152 divisors, whose sum is σ = 38616883200. Its totient is φ = 1773674496.

The previous prime is 8563242187. The next prime is 8563242271. The reversal of 8563242240 is 422423658.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 8563242195 and 8563242204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 372314869 + ... + 372314891.

It is an arithmetic number, because the mean of its divisors is an integer number (33521600).

Almost surely, 28563242240 is an apocalyptic number.

8563242240 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 8563242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19308441600).

8563242240 is an abundant number, since it is smaller than the sum of its proper divisors (30053640960).

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

8563242240 is an equidigital number, since it uses as much as digits as its factorization.

8563242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 8563242240 is about 92537.7881732647. The cubic root of 8563242240 is about 2045.8764813935.

Adding to 8563242240 its reverse (422423658), we get a palindrome (8985665898).

The spelling of 8563242240 in words is "eight billion, five hundred sixty-three million, two hundred forty-two thousand, two hundred forty".