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54544674080 = 25513171924273
BaseRepresentation
bin110010110011000111…
…011010110100100000
312012210022102112110002
4302303013122310200
51343201414032310
641020225355132
73640445036261
oct626307326440
9165708375402
1054544674080
1121150056a46
12a6a2a98aa8
1351b34886a0
1428d6148968
151643859da5
hexcb31dad20

54544674080 has 288 divisors, whose sum is σ = 155114298864. Its totient is φ = 17953062912.

The previous prime is 54544674049. The next prime is 54544674089. The reversal of 54544674080 is 8047644545.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14805048976 + 39739625104 = 121676^2 + 199348^2 .

It is not an unprimeable number, because it can be changed into a prime (54544674089) 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 47 ways as a sum of consecutive naturals, for example, 12762824 + ... + 12767096.

Almost surely, 254544674080 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 54544674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77557149432).

54544674080 is an abundant number, since it is smaller than the sum of its proper divisors (100569624784).

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

54544674080 is a wasteful number, since it uses less digits than its factorization.

54544674080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 47.

The spelling of 54544674080 in words is "fifty-four billion, five hundred forty-four million, six hundred seventy-four thousand, eighty".