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56082419712 = 21234113127
BaseRepresentation
bin110100001110110001…
…011101000000000000
312100202110222002220000
4310032301131000000
51404324044412322
641433000520000
74023526462554
oct641661350000
9170673862800
1056082419712
112186a078000
12aa51a80000
135399c35347
142a00475864
1516d385d3ac
hexd0ec5d000

56082419712 has 520 divisors, whose sum is σ = 185726272512. Its totient is φ = 16860856320.

The previous prime is 56082419711. The next prime is 56082419737. The reversal of 56082419712 is 21791428065.

56082419712 is a `hidden beast` number, since 5 + 608 + 24 + 1 + 9 + 7 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56082419711) 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 39 ways as a sum of consecutive naturals, for example, 441593793 + ... + 441593919.

Almost surely, 256082419712 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 56082419712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92863136256).

56082419712 is an abundant number, since it is smaller than the sum of its proper divisors (129643852800).

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

56082419712 is an equidigital number, since it uses as much as digits as its factorization.

56082419712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 56082419712 in words is "fifty-six billion, eighty-two million, four hundred nineteen thousand, seven hundred twelve".