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523124255040 = 2635151223899
BaseRepresentation
bin1111001110011001010…
…00101010100101000000
31212000021102120120200220
413213030220222211000
532032324302130130
61040153040143040
752536335541462
oct7471450524500
91760242516626
10523124255040
11191946005582
1285475307a80
133a43ab9381a
141b468418132
15d91acd9410
hex79cca2a940

523124255040 has 168 divisors, whose sum is σ = 1672061781600. Its totient is φ = 138570163200.

The previous prime is 523124254973. The next prime is 523124255041. The reversal of 523124255040 is 40552421325.

It is a happy number.

It is a super-2 number, since 2×5231242550402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 523124254992 and 523124255010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523124255041) 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 23 ways as a sum of consecutive naturals, for example, 21877011 + ... + 21900909.

It is an arithmetic number, because the mean of its divisors is an integer number (9952748700).

Almost surely, 2523124255040 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 523124255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836030890800).

523124255040 is an abundant number, since it is smaller than the sum of its proper divisors (1148937526560).

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

523124255040 is a wasteful number, since it uses less digits than its factorization.

523124255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24221 (or 24060 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 523124255040 its reverse (40552421325), we get a palindrome (563676676365).

The spelling of 523124255040 in words is "five hundred twenty-three billion, one hundred twenty-four million, two hundred fifty-five thousand, forty".