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55505384211888 = 243213191768188261
BaseRepresentation
bin11001001111011010110101…
…01101011000010110110000
321021112021002122211101222200
430213231122231120112300
524233400011324240023
6314014453235303200
714456063110204452
oct1447553255302660
9237467078741880
1055505384211888
111675a779402136
126285394a4ab00
1324c819b267bb0
14d9c6912ca2d2
15663c50a11743
hex327b5ab585b0

55505384211888 has 240 divisors, whose sum is σ = 176103597502560. Its totient is φ = 16178608742400.

The previous prime is 55505384211887. The next prime is 55505384211899. The reversal of 55505384211888 is 88811248350555.

55505384211888 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 538 + 4 + 2 + 1 + 18 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (55505384211887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628833678 + ... + 628921938.

It is an arithmetic number, because the mean of its divisors is an integer number (733764989594).

Almost surely, 255505384211888 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 55505384211888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88051798751280).

55505384211888 is an abundant number, since it is smaller than the sum of its proper divisors (120598213290672).

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

55505384211888 is a wasteful number, since it uses less digits than its factorization.

55505384211888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105988 (or 105979 counting only the distinct ones).

The product of its (nonzero) digits is 61440000, while the sum is 63.

The spelling of 55505384211888 in words is "fifty-five trillion, five hundred five billion, three hundred eighty-four million, two hundred eleven thousand, eight hundred eighty-eight".