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5585279311872 = 21333131942441
BaseRepresentation
bin101000101000110110010…
…0101101110000000000000
3201202221120201101202002000
41101101230211232000000
51213002123000434442
615513501503224000
71114344266554101
oct121215445560000
921687521352060
105585279311872
1118637816221a7
1276256a8a8000
133168c700bb10
141544869523a8
159a44504dd4c
hex5146c96e000

5585279311872 has 224 divisors, whose sum is σ = 17820895280160. Its totient is φ = 1718546595840.

The previous prime is 5585279311823. The next prime is 5585279311879. The reversal of 5585279311872 is 2781139725855.

5585279311872 is a `hidden beast` number, since 5 + 5 + 8 + 527 + 9 + 31 + 1 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585279311879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1904172 + ... + 3846612.

It is an arithmetic number, because the mean of its divisors is an integer number (79557568215).

Almost surely, 25585279311872 is an apocalyptic number.

5585279311872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5585279311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910447640080).

5585279311872 is an abundant number, since it is smaller than the sum of its proper divisors (12235615968288).

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

5585279311872 is a wasteful number, since it uses less digits than its factorization.

5585279311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942489 (or 1942459 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 63.

The spelling of 5585279311872 in words is "five trillion, five hundred eighty-five billion, two hundred seventy-nine million, three hundred eleven thousand, eight hundred seventy-two".