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5563974976560 = 2433571113171931257
BaseRepresentation
bin101000011110111011011…
…0000001000010000110000
3201200220120222112101011000
41100331312300020100300
51212130010043222220
615500015501322000
71112661325652250
oct120756660102060
921626528471130
105563974976560
111855739904810
1275a403b66300
133148b033bb50
1415342533b960
1599ae9a38390
hex50f76c08430

5563974976560 has 5120 divisors, whose sum is σ = 29719697817600. Its totient is φ = 917294284800.

The previous prime is 5563974976517. The next prime is 5563974976597. The reversal of 5563974976560 is 656794793655.

5563974976560 is a `hidden beast` number, since 5 + 56 + 3 + 9 + 7 + 4 + 9 + 7 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 21649707952 + ... + 21649708208.

It is an arithmetic number, because the mean of its divisors is an integer number (5804628480).

Almost surely, 25563974976560 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 5563974976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859848908800).

5563974976560 is an abundant number, since it is smaller than the sum of its proper divisors (24155722841040).

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

5563974976560 is a wasteful number, since it uses less digits than its factorization.

5563974976560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1285956000, while the sum is 72.

The spelling of 5563974976560 in words is "five trillion, five hundred sixty-three billion, nine hundred seventy-four million, nine hundred seventy-six thousand, five hundred sixty".