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563488738560 = 28335116722123
BaseRepresentation
bin10000011001100101000…
…10111100110100000000
31222212110111110210121000
420030302202330310000
533213011104113220
61110510235132000
755465530151446
oct10146242746400
91885414423530
10563488738560
111a7a79780470
129125b2a4000
13411a16007b7
141d3b7182b96
15e9ce7bb390
hex83328bcd00

563488738560 has 576 divisors, whose sum is σ = 2214042485760. Its totient is φ = 134558392320.

The previous prime is 563488738507. The next prime is 563488738591. The reversal of 563488738560 is 65837884365.

It is a happy number.

563488738560 is a `hidden beast` number, since 5 + 6 + 3 + 488 + 73 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25459659 + ... + 25481781.

It is an arithmetic number, because the mean of its divisors is an integer number (3843823760).

Almost surely, 2563488738560 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 563488738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107021242880).

563488738560 is an abundant number, since it is smaller than the sum of its proper divisors (1650553747200).

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

563488738560 is a wasteful number, since it uses less digits than its factorization.

563488738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22231 (or 22211 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 563488738560 in words is "five hundred sixty-three billion, four hundred eighty-eight million, seven hundred thirty-eight thousand, five hundred sixty".