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580042374912 = 2832721113193161
BaseRepresentation
bin10000111000011010011…
…10000011111100000000
32001110012011001122200200
420130031032003330000
534000411321444122
61122245013045200
756622663560100
oct10341516037400
92043164048620
10580042374912
11203aa3887470
12944bb026800
134290bc9b3b0
142010786d200
151014cbc25ac
hex870d383f00

580042374912 has 2592 divisors, whose sum is σ = 2524178442240. Its totient is φ = 125411328000.

The previous prime is 580042374871. The next prime is 580042374929. The reversal of 580042374912 is 219473240085.

580042374912 is a `hidden beast` number, since 580 + 0 + 4 + 23 + 7 + 49 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9508891362 + ... + 9508891422.

Almost surely, 2580042374912 is an apocalyptic number.

580042374912 is a gapful number since it is divisible by the number (52) 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 580042374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262089221120).

580042374912 is an abundant number, since it is smaller than the sum of its proper divisors (1944136067328).

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

580042374912 is a wasteful number, since it uses less digits than its factorization.

580042374912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 580042374912 in words is "five hundred eighty billion, forty-two million, three hundred seventy-four thousand, nine hundred twelve".