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5626848288096 = 25357539112141
BaseRepresentation
bin101000111100001101001…
…0010110001110101100000
3201220220212201202112100000
41101320122102301311200
51214142241130204341
615544534410500000
71120345355203440
oct121703222616540
921826781675300
105626848288096
11187a373192302
1276a630134600
1331a7c0154179
141564ab65a120
159b5796578b6
hex51e1a4b1d60

5626848288096 has 576 divisors, whose sum is σ = 19352629610496. Its totient is φ = 1574870169600.

The previous prime is 5626848288091. The next prime is 5626848288133. The reversal of 5626848288096 is 6908828486265.

5626848288096 is a `hidden beast` number, since 5 + 6 + 2 + 68 + 482 + 8 + 80 + 9 + 6 = 666.

It is a super-2 number, since 2×56268482880962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5626848288091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2628139186 + ... + 2628141326.

It is an arithmetic number, because the mean of its divisors is an integer number (33598315296).

Almost surely, 25626848288096 is an apocalyptic number.

5626848288096 is a gapful number since it is divisible by the number (56) 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 5626848288096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676314805248).

5626848288096 is an abundant number, since it is smaller than the sum of its proper divisors (13725781322400).

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

5626848288096 is a wasteful number, since it uses less digits than its factorization.

5626848288096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 5626848288096 in words is "five trillion, six hundred twenty-six billion, eight hundred forty-eight million, two hundred eighty-eight thousand, ninety-six".