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55026006048 = 2534134493637
BaseRepresentation
bin110011001111110011…
…100011100000100000
312021000212010201210000
4303033303203200200
51400143124143143
641140102140000
73655411222416
oct631763434040
9167025121700
1055026006048
1121377822862
12a7b8121600
13525c1056c0
1429400412b6
151670c36bd3
hexccfce3820

55026006048 has 240 divisors, whose sum is σ = 174714586200. Its totient is φ = 16888725504.

The previous prime is 55026006047. The next prime is 55026006131. The reversal of 55026006048 is 84060062055.

55026006048 is a `hidden beast` number, since 5 + 5 + 0 + 2 + 600 + 6 + 0 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24377201424 + 30648804624 = 156132^2 + 175068^2 .

It is a super-3 number, since 3×550260060483 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55026006047) 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 39 ways as a sum of consecutive naturals, for example, 15127686 + ... + 15131322.

Almost surely, 255026006048 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 55026006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87357293100).

55026006048 is an abundant number, since it is smaller than the sum of its proper divisors (119688580152).

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

55026006048 is a wasteful number, since it uses less digits than its factorization.

55026006048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 55026006048 in words is "fifty-five billion, twenty-six million, six thousand, forty-eight".