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52558450560 = 273657211219
BaseRepresentation
bin110000111100101110…
…100100111110000000
312000122212222221000000
4300330232210332000
51330114430404220
640051154000000
73540306313200
oct607456447600
9160585887000
1052558450560
1120320969900
12a229876000
134c57b25ab5
142788438400
1515792b9390
hexc3cba4f80

52558450560 has 2016 divisors, whose sum is σ = 253552609800. Its totient is φ = 10346434560.

The previous prime is 52558450547. The next prime is 52558450561. The reversal of 52558450560 is 6505485525.

52558450560 is a `hidden beast` number, since 5 + 2 + 5 + 5 + 84 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52558450561) 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 251 ways as a sum of consecutive naturals, for example, 2766234231 + ... + 2766234249.

Almost surely, 252558450560 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 52558450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126776304900).

52558450560 is an abundant number, since it is smaller than the sum of its proper divisors (200994159240).

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

52558450560 is a wasteful number, since it uses less digits than its factorization.

52558450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 52558450560 in words is "fifty-two billion, five hundred fifty-eight million, four hundred fifty thousand, five hundred sixty".