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5479669440 = 26355710067
BaseRepresentation
bin1010001101001110…
…10001111011000000
3112010212222001100000
411012213101323000
542210243410230
62303424200000
7252535264440
oct50647217300
915125861300
105479669440
112362148833
12108b169000
13694345c6b
1439da84120
15221105b60
hex1469d1ec0

5479669440 has 336 divisors, whose sum is σ = 22340328192. Its totient is φ = 1252371456.

The previous prime is 5479669423. The next prime is 5479669463. The reversal of 5479669440 is 449669745.

It is a happy number.

5479669440 is a `hidden beast` number, since 54 + 7 + 96 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 539287 + ... + 549353.

It is an arithmetic number, because the mean of its divisors is an integer number (66489072).

Almost surely, 25479669440 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 5479669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170164096).

5479669440 is an abundant number, since it is smaller than the sum of its proper divisors (16860658752).

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

5479669440 is a wasteful number, since it uses less digits than its factorization.

5479669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 5479669440 is about 74024.7893614024. The cubic root of 5479669440 is about 1762.9965138034.

The spelling of 5479669440 in words is "five billion, four hundred seventy-nine million, six hundred sixty-nine thousand, four hundred forty".