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8058424320000 = 213365417127
BaseRepresentation
bin111010101000011111110…
…0001001110000000000000
31001112101012110001101000000
41311100333201032000000
52024012123111220000
625045553344000000
71461126160354545
oct165207741160000
931471173041000
108058424320000
11262761649a61a
12aa193a000000
13465ba1a82102
141dc05bb6cbcc
15de9411c0000
hex7543f84e000

8058424320000 has 1960 divisors, whose sum is σ = 32221599987456. Its totient is φ = 2006581248000.

The previous prime is 8058424319921. The next prime is 8058424320007. The reversal of 8058424320000 is 234248508.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8058424320007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 63452159937 + ... + 63452160063.

Almost surely, 28058424320000 is an apocalyptic number.

8058424320000 is a gapful number since it is divisible by the number (80) 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 8058424320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16110799993728).

8058424320000 is an abundant number, since it is smaller than the sum of its proper divisors (24163175667456).

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

8058424320000 is an frugal number, since it uses more digits than its factorization.

8058424320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 8058424320000 its reverse (234248508), we get a palindrome (8058658568508).

The spelling of 8058424320000 in words is "eight trillion, fifty-eight billion, four hundred twenty-four million, three hundred twenty thousand".