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5021349285888 = 212321326173181
BaseRepresentation
bin100100100010001111110…
…1111011001000000000000
3122210000222110120012221100
41021010133233121000000
51124232210404122023
614402435341454400
71025531500461135
oct111043757310000
918700873505840
105021349285888
1116665a6846a91
12691207871400
132a5685172200
1413506ad3c58c
158a93bb65c43
hex4911fbd9000

5021349285888 has 936 divisors, whose sum is σ = 16271446597224. Its totient is φ = 1490603212800.

The previous prime is 5021349285847. The next prime is 5021349285899. The reversal of 5021349285888 is 8885829431205.

5021349285888 is a `hidden beast` number, since 5 + 0 + 2 + 1 + 3 + 49 + 2 + 8 + 588 + 8 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4861707485184 + 159641800704 = 2204928^2 + 399552^2 .

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 27742261158 + ... + 27742261338.

Almost surely, 25021349285888 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 5021349285888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135723298612).

5021349285888 is an abundant number, since it is smaller than the sum of its proper divisors (11250097311336).

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

5021349285888 is a wasteful number, since it uses less digits than its factorization.

5021349285888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 5021349285888 in words is "five trillion, twenty-one billion, three hundred forty-nine million, two hundred eighty-five thousand, eight hundred eighty-eight".