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5484791808 = 211322931331
BaseRepresentation
bin1010001101110101…
…10100100000000000
3112011020121021220100
411012322310200000
542213101314213
62304130042400
7252626650446
oct50672644000
915136537810
105484791808
1123650272a1
121090a19400
1369541a652
143a0618b96
152217b8773
hex146eb4800

5484791808 has 288 divisors, whose sum is σ = 16967059200. Its totient is φ = 1703116800.

The previous prime is 5484791797. The next prime is 5484791813. The reversal of 5484791808 is 8081974845.

5484791808 is a `hidden beast` number, since 548 + 4 + 7 + 91 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16570203 + ... + 16570533.

It is an arithmetic number, because the mean of its divisors is an integer number (58913400).

Almost surely, 25484791808 is an apocalyptic number.

5484791808 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5484791808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483529600).

5484791808 is an abundant number, since it is smaller than the sum of its proper divisors (11482267392).

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

5484791808 is a wasteful number, since it uses less digits than its factorization.

5484791808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 5484791808 is about 74059.3802836616. The cubic root of 5484791808 is about 1763.5456895356.

The spelling of 5484791808 in words is "five billion, four hundred eighty-four million, seven hundred ninety-one thousand, eight hundred eight".