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563196215296 = 214112132412
BaseRepresentation
bin10000011001000010001…
…11000100000000000000
31222211201010001002010001
420030201013010000000
533211411212342141
61110421225245344
755455345562111
oct10144107040000
91884633032101
10563196215296
111a7939643400
1291199333854
1341155b1cc00
141d38a398208
15e9b3c87a31
hex83211c4000

563196215296 has 405 divisors, whose sum is σ = 1374120090399. Its totient is φ = 230542540800.

The previous prime is 563196215293. The next prime is 563196215297. The reversal of 563196215296 is 692512691365.

The square root of 563196215296 is 750464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 375131750400 + 188064464896 = 612480^2 + 433664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (563196215291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13736493036 + ... + 13736493076.

Almost surely, 2563196215296 is an apocalyptic number.

563196215296 is the 750464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563196215296

563196215296 is an abundant number, since it is smaller than the sum of its proper divisors (810923875103).

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

563196215296 is an equidigital number, since it uses as much as digits as its factorization.

563196215296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 67 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 55.

The spelling of 563196215296 in words is "five hundred sixty-three billion, one hundred ninety-six million, two hundred fifteen thousand, two hundred ninety-six".