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3680486208 = 26337535741
BaseRepresentation
bin1101101101011111…
…1100001101000000
3100111111111001221000
43123113330031000
530014201024313
61405113332000
7160130421330
oct33327741500
910444431830
103680486208
1116195a1843
12868707000
134686808b9
1426cb410c0
151681ae673
hexdb5fc340

3680486208 has 224 divisors, whose sum is σ = 12601163520. Its totient is φ = 1031546880.

The previous prime is 3680486203. The next prime is 3680486221. The reversal of 3680486208 is 8026840863.

It is a happy number.

3680486208 is a `hidden beast` number, since 368 + 0 + 4 + 86 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680486203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638218 + ... + 643958.

Almost surely, 23680486208 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 3680486208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300581760).

3680486208 is an abundant number, since it is smaller than the sum of its proper divisors (8920677312).

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

3680486208 is a wasteful number, since it uses less digits than its factorization.

3680486208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3680486208 is about 60667.0108708184. The cubic root of 3680486208 is about 1543.9565166238.

The spelling of 3680486208 in words is "three billion, six hundred eighty million, four hundred eighty-six thousand, two hundred eight".