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52433163648 = 273517219307
BaseRepresentation
bin110000110101010000…
…101001010110000000
312000100011020200200000
4300311100221112000
51324340342214043
640030520400000
73534225352215
oct606520512600
9160304220600
1052433163648
11202671769a8
12a1b3916000
134c37b9a628
142775943b0c
15156d2bc2d3
hexc35429580

52433163648 has 576 divisors, whose sum is σ = 175533758400. Its totient is φ = 15533088768.

The previous prime is 52433163637. The next prime is 52433163677. The reversal of 52433163648 is 84636133425.

52433163648 is a `hidden beast` number, since 5 + 2 + 4 + 3 + 3 + 1 + 636 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 170791911 + ... + 170792217.

Almost surely, 252433163648 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 52433163648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87766879200).

52433163648 is an abundant number, since it is smaller than the sum of its proper divisors (123100594752).

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

52433163648 is a wasteful number, since it uses less digits than its factorization.

52433163648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 348 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 52433163648 in words is "fifty-two billion, four hundred thirty-three million, one hundred sixty-three thousand, six hundred forty-eight".