Search a number
-
+
563332672320 = 263511237131071
BaseRepresentation
bin10000011001010010011…
…11100110101101000000
31222212001121210210221220
420030221033212231000
533212201131003240
61110442542115040
755461623465025
oct10145117465500
91885047723856
10563332672320
111a79a9675600
1291216b7ba80
1341178189702
141d3a055954c
15e9c0c3e5d0
hex83293e6b40

563332672320 has 336 divisors, whose sum is σ = 2019110682624. Its totient is φ = 132873523200.

The previous prime is 563332672319. The next prime is 563332672369. The reversal of 563332672320 is 23276233365.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4232385 + ... + 4363455.

It is an arithmetic number, because the mean of its divisors is an integer number (6009257984).

Almost surely, 2563332672320 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 563332672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009555341312).

563332672320 is an abundant number, since it is smaller than the sum of its proper divisors (1455778010304).

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

563332672320 is a wasteful number, since it uses less digits than its factorization.

563332672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131150 (or 131129 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 42.

The spelling of 563332672320 in words is "five hundred sixty-three billion, three hundred thirty-two million, six hundred seventy-two thousand, three hundred twenty".