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58452330640 = 24511233789877
BaseRepresentation
bin110110011100000001…
…111100100010010000
312120212122101001111211
4312130001330202100
51424202244040030
642504100145504
74136334420064
oct663401744220
9176778331454
1058452330640
11228758a9180
12b3b3698294
135686c175c2
142b87101aa4
1517c193e12a
hexd9c07c890

58452330640 has 320 divisors, whose sum is σ = 160851847680. Its totient is φ = 19537182720.

The previous prime is 58452330499. The next prime is 58452330649. The reversal of 58452330640 is 4603325485.

It is a super-3 number, since 3×584523306403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 58452330593 and 58452330602.

It is not an unprimeable number, because it can be changed into a prime (58452330649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66649882 + ... + 66650758.

It is an arithmetic number, because the mean of its divisors is an integer number (502662024).

Almost surely, 258452330640 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 58452330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80425923840).

58452330640 is an abundant number, since it is smaller than the sum of its proper divisors (102399517040).

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

58452330640 is a wasteful number, since it uses less digits than its factorization.

58452330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 58452330640 in words is "fifty-eight billion, four hundred fifty-two million, three hundred thirty thousand, six hundred forty".