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58001428519944 = 233721331538772633
BaseRepresentation
bin11010011000000100000101…
…00010110001110000001000
321121100212211021112222222020
431030002002202301300020
530100243411200114234
6323205253255324440
715134315316565500
oct1514020242616010
9247325737488866
1058001428519944
11175322a433a518
126609095080720
13264968526ccc0
1410473d98a0a00
156a8b3c200549
hex34c0828b1c08

58001428519944 has 768 divisors, whose sum is σ = 191341055969280. Its totient is φ = 14502240829440.

The previous prime is 58001428519927. The next prime is 58001428519949. The reversal of 58001428519944 is 44991582410085.

It is not an unprimeable number, because it can be changed into a prime (58001428519949) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22028646052 + ... + 22028648684.

It is an arithmetic number, because the mean of its divisors is an integer number (249141999960).

Almost surely, 258001428519944 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 58001428519944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95670527984640).

58001428519944 is an abundant number, since it is smaller than the sum of its proper divisors (133339627449336).

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

58001428519944 is a wasteful number, since it uses less digits than its factorization.

58001428519944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 58001428519944 in words is "fifty-eight trillion, one billion, four hundred twenty-eight million, five hundred nineteen thousand, nine hundred forty-four".