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5473676328960 = 21535719313773
BaseRepresentation
bin100111110100111000010…
…0010001000000000000000
3201101021111220200210112110
41033221300202020000000
51204140042120011320
615350323332055320
71103313542061060
oct117516042100000
921337456623473
105473676328960
111820411653324
12744a03164540
1330921c6a3518
1414ccda8dd3a0
15975b23685e0
hex4fa70888000

5473676328960 has 2048 divisors, whose sum is σ = 22644869529600. Its totient is φ = 1100753141760.

The previous prime is 5473676328937. The next prime is 5473676329097. The reversal of 5473676328960 is 698236763745.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×54736763289602 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5473676328891 and 5473676328900.

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 127 ways as a sum of consecutive naturals, for example, 74981867484 + ... + 74981867556.

It is an arithmetic number, because the mean of its divisors is an integer number (11057065200).

Almost surely, 25473676328960 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 5473676328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322434764800).

5473676328960 is an abundant number, since it is smaller than the sum of its proper divisors (17171193200640).

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

5473676328960 is a wasteful number, since it uses less digits than its factorization.

5473676328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 66.

The spelling of 5473676328960 in words is "five trillion, four hundred seventy-three billion, six hundred seventy-six million, three hundred twenty-eight thousand, nine hundred sixty".