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5481206640 = 243257213171937
BaseRepresentation
bin1010001101011010…
…01001001101110000
3112010222212010222100
411012231021031300
542211142103030
62303521140400
7252554326200
oct50655111560
915128763870
105481206640
112362aa8748
12108b78a700
13694763850
1439dd64400
1522130b360
hex146b49370

5481206640 has 1440 divisors, whose sum is σ = 26396435520. Its totient is φ = 1003290624.

The previous prime is 5481206617. The next prime is 5481206651. The reversal of 5481206640 is 466021845.

5481206640 is a `hidden beast` number, since 5 + 4 + 8 + 1 + 2 + 0 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5481206595 and 5481206604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 148140702 + ... + 148140738.

It is an arithmetic number, because the mean of its divisors is an integer number (18330858).

Almost surely, 25481206640 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 5481206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198217760).

5481206640 is an abundant number, since it is smaller than the sum of its proper divisors (20915228880).

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

5481206640 is a wasteful number, since it uses less digits than its factorization.

5481206640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5481206640 is about 74035.1716415921. The cubic root of 5481206640 is about 1763.1613549429.

The spelling of 5481206640 in words is "five billion, four hundred eighty-one million, two hundred six thousand, six hundred forty".