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234569965047264 = 253371113925366067
BaseRepresentation
bin110101010101011100010011…
…011100010000110111100000
31010202112200002011210212222000
4311111130103130100313200
5221221143242023003024
62150515542043444000
7100260056256002250
oct6525342334206740
91122480064725860
10234569965047264
1168817622051a80
1222385292826600
13a0b6b11771872
1441cd36564b960
151c1ba82e60cc9
hexd55713710de0

234569965047264 has 384 divisors, whose sum is σ = 859118283878400. Its totient is φ = 60488935626240.

The previous prime is 234569965047211. The next prime is 234569965047287. The reversal of 234569965047264 is 462740569965432.

234569965047264 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 6 + 9 + 96 + 5 + 0 + 472 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 234569965047192 and 234569965047201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3435642 + ... + 21930425.

It is an arithmetic number, because the mean of its divisors is an integer number (2237287197600).

Almost surely, 2234569965047264 is an apocalyptic number.

234569965047264 is a gapful number since it is divisible by the number (24) 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 234569965047264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429559141939200).

234569965047264 is an abundant number, since it is smaller than the sum of its proper divisors (624548318831136).

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

234569965047264 is a wasteful number, since it uses less digits than its factorization.

234569965047264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25366243 (or 25366229 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 72.

The spelling of 234569965047264 in words is "two hundred thirty-four trillion, five hundred sixty-nine billion, nine hundred sixty-five million, forty-seven thousand, two hundred sixty-four".