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55485480960 = 214325713827
BaseRepresentation
bin110011101011001100…
…010100000000000000
312022012212201110212100
4303223030110000000
51402113240342320
641253434230400
74002660543420
oct635314240000
9168185643770
1055485480960
1121593120098
12a905b85400
13530336bc50
142985088480
15169b247790
hexceb314000

55485480960 has 720 divisors, whose sum is σ = 237017079936. Its totient is φ = 11692670976.

The previous prime is 55485480929. The next prime is 55485480997. The reversal of 55485480960 is 6908458455.

55485480960 is a `hidden beast` number, since 5 + 5 + 4 + 8 + 548 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 55485480897 and 55485480906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67092067 + ... + 67092893.

Almost surely, 255485480960 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 55485480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118508539968).

55485480960 is an abundant number, since it is smaller than the sum of its proper divisors (181531598976).

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

55485480960 is a wasteful number, since it uses less digits than its factorization.

55485480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 55485480960 in words is "fifty-five billion, four hundred eighty-five million, four hundred eighty thousand, nine hundred sixty".