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563111442432 = 211327111723339
BaseRepresentation
bin10000011000111000000…
…11101011100000000000
31222211111012112011121100
420030130003223200000
533211223012124212
61110405000254400
755453266166650
oct10143403534000
91884435464540
10563111442432
111a78a5802290
1291174a71400
13411413ab256
141d37d00c360
15e9ab5debdc
hex831c0eb800

563111442432 has 576 divisors, whose sum is σ = 2147048467200. Its totient is φ = 137653125120.

The previous prime is 563111442431. The next prime is 563111442461. The reversal of 563111442432 is 234244111365.

563111442432 is a `hidden beast` number, since 5 + 63 + 111 + 442 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563111442431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24115819 + ... + 24139157.

It is an arithmetic number, because the mean of its divisors is an integer number (3727514700).

Almost surely, 2563111442432 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 563111442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073524233600).

563111442432 is an abundant number, since it is smaller than the sum of its proper divisors (1583937024768).

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

563111442432 is a wasteful number, since it uses less digits than its factorization.

563111442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23402 (or 23379 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 563111442432 its reverse (234244111365), we get a palindrome (797355553797).

The spelling of 563111442432 in words is "five hundred sixty-three billion, one hundred eleven million, four hundred forty-two thousand, four hundred thirty-two".