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580230319900 = 2252721121516481
BaseRepresentation
bin10000111000110000110…
…11000000111100011100
32001110200020201020202011
420130120123000330130
534001302430214100
61122315405241004
756630435225500
oct10343033007434
92043606636664
10580230319900
1120408a986300
1294551b63164
134293bbc464a
14201247d4300
151015e449bba
hex87186c0f1c

580230319900 has 324 divisors, whose sum is σ = 1620835145328. Its totient is φ = 179625600000.

The previous prime is 580230319897. The next prime is 580230319901. The reversal of 580230319900 is 9913032085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580230319901) 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 107 ways as a sum of consecutive naturals, for example, 89524660 + ... + 89531140.

Almost surely, 2580230319900 is an apocalyptic number.

580230319900 is a gapful number since it is divisible by the number (50) 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 580230319900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810417572664).

580230319900 is an abundant number, since it is smaller than the sum of its proper divisors (1040604825428).

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

580230319900 is a wasteful number, since it uses less digits than its factorization.

580230319900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 580230319900 in words is "five hundred eighty billion, two hundred thirty million, three hundred nineteen thousand, nine hundred".