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5582122128 = 243611139313
BaseRepresentation
bin1010011001011100…
…00110110010010000
3112102000202012000000
411030232012302100
542413010402003
62321524130000
7255221153352
oct51456066220
915360665000
105582122128
112404a64a80
1210b9536900
136ac637c5b
143ad5130d2
1522a0e21a3
hex14cb86c90

5582122128 has 280 divisors, whose sum is σ = 17873960160. Its totient is φ = 1674017280.

The previous prime is 5582122109. The next prime is 5582122141. The reversal of 5582122128 is 8212212855.

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

It is a junction number, because it is equal to n+sod(n) for n = 5582122092 and 5582122101.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17834100 + ... + 17834412.

It is an arithmetic number, because the mean of its divisors is an integer number (63835572).

Almost surely, 25582122128 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 5582122128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936980080).

5582122128 is an abundant number, since it is smaller than the sum of its proper divisors (12291838032).

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

5582122128 is a wasteful number, since it uses less digits than its factorization.

5582122128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 5582122128 is about 74713.6006895666. The cubic root of 5582122128 is about 1773.9162467710.

The spelling of 5582122128 in words is "five billion, five hundred eighty-two million, one hundred twenty-two thousand, one hundred twenty-eight".