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230713048730560 = 2651117234335910859
BaseRepresentation
bin110100011101010100010001…
…010100001000101111000000
31010020212221201001022102000111
4310131110101110020233000
5220220000310433334220
62134404040021401104
766411316265144554
oct6435242124105700
91106787631272014
10230713048730560
116756a944371440
1221a61899269194
139b971bb36c3b6
1440d87dd2c7864
151ba159879b15a
hexd1d511508bc0

230713048730560 has 896 divisors, whose sum is σ = 679524260659200. Its totient is φ = 73558825697280.

The previous prime is 230713048730501. The next prime is 230713048730581. The reversal of 230713048730560 is 65037840317032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21246246411 + ... + 21246257269.

Almost surely, 2230713048730560 is an apocalyptic number.

230713048730560 is a gapful number since it is divisible by the number (20) 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 230713048730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339762130329600).

230713048730560 is an abundant number, since it is smaller than the sum of its proper divisors (448811211928640).

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

230713048730560 is a wasteful number, since it uses less digits than its factorization.

230713048730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11329 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 230713048730560 in words is "two hundred thirty trillion, seven hundred thirteen billion, forty-eight million, seven hundred thirty thousand, five hundred sixty".