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532964241936 = 24347228972
BaseRepresentation
bin1111100000101110010…
…01001111001000010000
31212221200012020201010000
413300113021033020100
532213002321220221
61044501305210000
753335231211100
oct7602711171020
91787605221100
10532964241936
11196035469355
1287360790900
133b348687589
141bb1d207200
15dce4adae26
hex7c1724f210

532964241936 has 225 divisors, whose sum is σ = 1795018165149. Its totient is φ = 152222934528.

The previous prime is 532964241923. The next prime is 532964241959. The reversal of 532964241936 is 639142469235.

The square root of 532964241936 is 730044.

It is a perfect power (a square), and thus also a powerful number.

532964241936 is a `hidden beast` number, since 5 + 3 + 29 + 6 + 424 + 193 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60368490000 + 472595751936 = 245700^2 + 687456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 183969640 + ... + 183972536.

Almost surely, 2532964241936 is an apocalyptic number.

532964241936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

532964241936 is the 730044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532964241936

532964241936 is an abundant number, since it is smaller than the sum of its proper divisors (1262053923213).

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

532964241936 is an frugal number, since it uses more digits than its factorization.

532964241936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 2909 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 532964241936 in words is "five hundred thirty-two billion, nine hundred sixty-four million, two hundred forty-one thousand, nine hundred thirty-six".