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8669248560 = 243557219479
BaseRepresentation
bin10000001001011101…
…00011110000110000
3211101011201110100000
420010232203300300
5120223311423220
63552124030000
7424555253100
oct100456436060
924334643300
108669248560
113749623835
12181b392300
13a820a649b
145c3519200
1535b146390
hex204ba3c30

8669248560 has 720 divisors, whose sum is σ = 37047628800. Its totient is φ = 1873331712.

The previous prime is 8669248529. The next prime is 8669248561. The reversal of 8669248560 is 658429668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 8669248497 and 8669248506.

It is not an unprimeable number, because it can be changed into a prime (8669248561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18098401 + ... + 18098879.

It is an arithmetic number, because the mean of its divisors is an integer number (51455040).

Almost surely, 28669248560 is an apocalyptic number.

8669248560 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 8669248560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18523814400).

8669248560 is an abundant number, since it is smaller than the sum of its proper divisors (28378380240).

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

8669248560 is a wasteful number, since it uses less digits than its factorization.

8669248560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 8669248560 is about 93108.7995841424. The cubic root of 8669248560 is about 2054.2840065198.

The spelling of 8669248560 in words is "eight billion, six hundred sixty-nine million, two hundred forty-eight thousand, five hundred sixty".