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563373398016 = 211341121317127
BaseRepresentation
bin10000011001010111010…
…10111101100000000000
31222212011110102220010000
420030223222331200000
533212242042214031
61110450555040000
755462626604602
oct10145352754000
91885143386100
10563373398016
111a7a1a661400
1291228740000
1341183748660
141d3a5b1b172
15e9c45d63e6
hex832babd800

563373398016 has 1440 divisors, whose sum is σ = 2125697333760. Its totient is φ = 147149291520.

The previous prime is 563373398011. The next prime is 563373398017. The reversal of 563373398016 is 610893373365.

563373398016 is a `hidden beast` number, since 563 + 3 + 73 + 3 + 9 + 8 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563373398011) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4436010945 + ... + 4436011071.

It is an arithmetic number, because the mean of its divisors is an integer number (1476178704).

Almost surely, 2563373398016 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 563373398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062848666880).

563373398016 is an abundant number, since it is smaller than the sum of its proper divisors (1562323935744).

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

563373398016 is a wasteful number, since it uses less digits than its factorization.

563373398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 563373398016 in words is "five hundred sixty-three billion, three hundred seventy-three million, three hundred ninety-eight thousand, sixteen".