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563873509056 = 263111341500911
BaseRepresentation
bin10000011010010010111…
…10101110111011000000
31222220110022111011111010
420031021132232323000
533214303104242211
61111012342120520
755511211513354
oct10151136567300
91886408434433
10563873509056
111a8156994210
1291348120140
134123323c150
141d412301464
15ea034724a6
hex83497aeec0

563873509056 has 224 divisors, whose sum is σ = 1795493016576. Its totient is φ = 153879552000.

The previous prime is 563873509051. The next prime is 563873509081. The reversal of 563873509056 is 650905378365.

It is a super-2 number, since 2×5638735090562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 563873508987 and 563873509005.

It is not an unprimeable number, because it can be changed into a prime (563873509051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875241 + ... + 1376151.

It is an arithmetic number, because the mean of its divisors is an integer number (8015593824).

Almost surely, 2563873509056 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 563873509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897746508288).

563873509056 is an abundant number, since it is smaller than the sum of its proper divisors (1231619507520).

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

563873509056 is a wasteful number, since it uses less digits than its factorization.

563873509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500991 (or 500981 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 57.

The spelling of 563873509056 in words is "five hundred sixty-three billion, eight hundred seventy-three million, five hundred nine thousand, fifty-six".