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560528894016 = 263372133713763
BaseRepresentation
bin10000010100000100010…
…00000010100001000000
31222120211020000010012000
420022002020002201000
533140430344102031
61105300423304000
755332266662200
oct10120210024100
91876736003160
10560528894016
111a679aa47453
1290773bab000
1340b1c3387b0
141d1b6030400
15e8a9a0a3e6
hex8282202840

560528894016 has 672 divisors, whose sum is σ = 2120288042880. Its totient is φ = 143825891328.

The previous prime is 560528893957. The next prime is 560528894021. The reversal of 560528894016 is 610498825065.

560528894016 is a `hidden beast` number, since 5 + 60 + 528 + 8 + 9 + 40 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40720351 + ... + 40734113.

It is an arithmetic number, because the mean of its divisors is an integer number (3155190540).

Almost surely, 2560528894016 is an apocalyptic number.

560528894016 is a gapful number since it is divisible by the number (56) 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 560528894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060144021440).

560528894016 is an abundant number, since it is smaller than the sum of its proper divisors (1559759148864).

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

560528894016 is a wasteful number, since it uses less digits than its factorization.

560528894016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13848 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 560528894016 in words is "five hundred sixty billion, five hundred twenty-eight million, eight hundred ninety-four thousand, sixteen".