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5484325824 = 263244321493
BaseRepresentation
bin1010001101110010…
…00010101111000000
3112011012201121200200
411012321002233000
542212441411244
62304112045200
7252623000055
oct50671025700
915135647620
105484325824
11236483918a
121090833800
136952b6513
143a053702c
15221725669
hex146e42bc0

5484325824 has 84 divisors (see below), whose sum is σ = 15756047736. Its totient is φ = 1823897088.

The previous prime is 5484325811. The next prime is 5484325831. The reversal of 5484325824 is 4285234845.

5484325824 is a `hidden beast` number, since 548 + 4 + 3 + 25 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5484325824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244422 + ... + 265914.

Almost surely, 25484325824 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 5484325824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878023868).

5484325824 is an abundant number, since it is smaller than the sum of its proper divisors (10271721912).

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

5484325824 is a wasteful number, since it uses less digits than its factorization.

5484325824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21954 (or 21941 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The square root of 5484325824 is about 74056.2342007748. The cubic root of 5484325824 is about 1763.4957449265.

The spelling of 5484325824 in words is "five billion, four hundred eighty-four million, three hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 443 576 886 1329 1772 2658 3544 3987 5316 7088 7974 10632 14176 15948 21264 21493 28352 31896 42528 42986 63792 64479 85056 85972 127584 128958 171944 193437 255168 257916 343888 386874 515832 687776 773748 1031664 1375552 1547496 2063328 3094992 4126656 6189984 9521399 12379968 19042798 28564197 38085596 57128394 76171192 85692591 114256788 152342384 171385182 228513576 304684768 342770364 457027152 609369536 685540728 914054304 1371081456 1828108608 2742162912 5484325824