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5321364480 = 210325176793
BaseRepresentation
bin1001111010010110…
…11001010000000000
3111201212002022202100
410331023121100000
541344232130410
62240011150400
7245603565105
oct47513312000
914655068670
105321364480
112290853993
121046145400
1366a5c9ba3
14386a36aac
152122858c0
hex13d2d9400

5321364480 has 264 divisors, whose sum is σ = 19525874472. Its totient is φ = 1335361536.

The previous prime is 5321364431. The next prime is 5321364481. The reversal of 5321364480 is 844631235.

5321364480 is a `hidden beast` number, since 5 + 3 + 2 + 1 + 3 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 301925376 + 5019439104 = 17376^2 + 70848^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5321364481) 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 23 ways as a sum of consecutive naturals, for example, 779964 + ... + 786756.

Almost surely, 25321364480 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 5321364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762937236).

5321364480 is an abundant number, since it is smaller than the sum of its proper divisors (14204509992).

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

5321364480 is a wasteful number, since it uses less digits than its factorization.

5321364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5321364480 is about 72947.6831708862. The cubic root of 5321364480 is about 1745.8529810117.

The spelling of 5321364480 in words is "five billion, three hundred twenty-one million, three hundred sixty-four thousand, four hundred eighty".