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5179740480 = 2633519139227
BaseRepresentation
bin1001101001011110…
…01001000101000000
3111100222121002011000
410310233021011000
541102003143410
62213551452000
7242234032125
oct46457110500
914328532130
105179740480
112218912762
121006827000
136471715c5
14371ccc74c
15204b0cdc0
hex134bc9140

5179740480 has 448 divisors, whose sum is σ = 19458432000. Its totient is φ = 1293428736.

The previous prime is 5179740479. The next prime is 5179740481. The reversal of 5179740480 is 840479715.

It is a happy number.

5179740480 is a `hidden beast` number, since 517 + 97 + 4 + 0 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5179740479) and next prime (5179740481).

It is a super-2 number, since 2×51797404802 = 53659422880301260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5179740481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22818127 + ... + 22818353.

It is an arithmetic number, because the mean of its divisors is an integer number (43434000).

Almost surely, 25179740480 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 5179740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729216000).

5179740480 is an abundant number, since it is smaller than the sum of its proper divisors (14278691520).

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

5179740480 is a wasteful number, since it uses less digits than its factorization.

5179740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5179740480 is about 71970.4139212774. The cubic root of 5179740480 is about 1730.2253351222.

The spelling of 5179740480 in words is "five billion, one hundred seventy-nine million, seven hundred forty thousand, four hundred eighty".