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563504353161152 = 2613311071516312143
BaseRepresentation
bin1000000000100000010001010…
…0110011001010111111000000
32201220012111020020200122120012
42000020010110303022333000
51042324423403402124102
65314250154234204052
7226456563116455034
oct20010042463127700
92656174206618505
10563504353161152
11153605943916497
125324ab03883628
131b257303a33530
149d21a830b41c4
154523094aad752
hex2008114ccafc0

563504353161152 has 448 divisors, whose sum is σ = 1265583889317888. Its totient is φ = 247177889280000.

The previous prime is 563504353161151. The next prime is 563504353161283. The reversal of 563504353161152 is 251161353405365.

It is a self number, because there is not a number n which added to its sum of digits gives 563504353161152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563504353161151) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 262951166993 + ... + 262951169135.

It is an arithmetic number, because the mean of its divisors is an integer number (2824964038656).

Almost surely, 2563504353161152 is an apocalyptic number.

563504353161152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563504353161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632791944658944).

563504353161152 is an abundant number, since it is smaller than the sum of its proper divisors (702079536156736).

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

563504353161152 is a wasteful number, since it uses less digits than its factorization.

563504353161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 50.

The spelling of 563504353161152 in words is "five hundred sixty-three trillion, five hundred four billion, three hundred fifty-three million, one hundred sixty-one thousand, one hundred fifty-two".