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563066007552 = 2123517107311
BaseRepresentation
bin10000011000110010101…
…10010111000000000000
31222211101001000211200000
420030121112113000000
533211124344220202
61110400254400000
755452205044516
oct10143126270000
91884331024600
10563066007552
111a788209a3a4
1291161800000
1341134b609c9
141d376d824b6
15e9a761791c
hex8319597000

563066007552 has 624 divisors, whose sum is σ = 1808377788672. Its totient is φ = 174434549760.

The previous prime is 563066007523. The next prime is 563066007571. The reversal of 563066007552 is 255700660365.

563066007552 is a `hidden beast` number, since 5 + 6 + 30 + 6 + 60 + 0 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 563066007498 and 563066007507.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1810501477 + ... + 1810501787.

It is an arithmetic number, because the mean of its divisors is an integer number (2898041328).

Almost surely, 2563066007552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563066007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904188894336).

563066007552 is an abundant number, since it is smaller than the sum of its proper divisors (1245311781120).

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

563066007552 is a wasteful number, since it uses less digits than its factorization.

563066007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 563066007552 in words is "five hundred sixty-three billion, sixty-six million, seven thousand, five hundred fifty-two".