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580252341312 = 2634747834099
BaseRepresentation
bin10000111000110011011…
…11000001010001000000
32001110201210011001110000
420130121233001101000
534001324044410222
61122321513240000
756631123344040
oct10343157012100
92043653131400
10580252341312
112040a1357316
1294559403000
1342943634b77
14201276c7720
15101613499ac
hex8719bc1440

580252341312 has 560 divisors, whose sum is σ = 2032279603200. Its totient is φ = 160264977408.

The previous prime is 580252341301. The next prime is 580252341313. The reversal of 580252341312 is 213143252085.

580252341312 is a `hidden beast` number, since 5 + 80 + 2 + 523 + 41 + 3 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (580252341313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141557439 + ... + 141561537.

It is an arithmetic number, because the mean of its divisors is an integer number (3629070720).

Almost surely, 2580252341312 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 580252341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016139801600).

580252341312 is an abundant number, since it is smaller than the sum of its proper divisors (1452027261888).

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

580252341312 is a wasteful number, since it uses less digits than its factorization.

580252341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 580252341312 its reverse (213143252085), we get a palindrome (793395593397).

The spelling of 580252341312 in words is "five hundred eighty billion, two hundred fifty-two million, three hundred forty-one thousand, three hundred twelve".