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5006221440 = 273511293809
BaseRepresentation
bin1001010100110010…
…01110000010000000
3110220220002101202220
410222121032002000
540223043041230
62144432411040
7235026115533
oct45231160200
913826071686
105006221440
1121399772a0
12b786a6a80
1361a22960c
14356c40a1a
151e4784d10
hex12a64e080

5006221440 has 256 divisors, whose sum is σ = 17489001600. Its totient is φ = 1207992320.

The previous prime is 5006221427. The next prime is 5006221459. The reversal of 5006221440 is 441226005.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5006221440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6187756 + ... + 6188564.

Almost surely, 25006221440 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 5006221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744500800).

5006221440 is an abundant number, since it is smaller than the sum of its proper divisors (12482780160).

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

5006221440 is a wasteful number, since it uses less digits than its factorization.

5006221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5006221440 is about 70754.6566665403. The cubic root of 5006221440 is about 1710.6848868996.

Adding to 5006221440 its reverse (441226005), we get a palindrome (5447447445).

The spelling of 5006221440 in words is "five billion, six million, two hundred twenty-one thousand, four hundred forty".