Search a number
-
+
563406550350 = 2352731731271867
BaseRepresentation
bin10000011001011011010…
…01011011010101001110
31222212020202211012120020
420030231221123111032
533212324034102400
61110454141403010
755463511442620
oct10145551332516
91885222735506
10563406550350
111a7a37345226
1291237869466
134118a585417
141d3aa2aac10
15e9c74842a0
hex832da5b54e

563406550350 has 384 divisors, whose sum is σ = 1685006057472. Its totient is φ = 121884134400.

The previous prime is 563406550321. The next prime is 563406550391. The reversal of 563406550350 is 53055604365.

563406550350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 301770117 + ... + 301771983.

It is an arithmetic number, because the mean of its divisors is an integer number (4388036608).

Almost surely, 2563406550350 is an apocalyptic number.

563406550350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 563406550350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842503028736).

563406550350 is an abundant number, since it is smaller than the sum of its proper divisors (1121599507122).

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

563406550350 is a wasteful number, since it uses less digits than its factorization.

563406550350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 563406550350 in words is "five hundred sixty-three billion, four hundred six million, five hundred fifty thousand, three hundred fifty".