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289789043328 = 27321929456539
BaseRepresentation
bin1000011011110001100…
…01011110001010000000
31000200222220012200110200
410031320301132022000
514221441443341303
6341043252525200
726636146140351
oct4157061361200
91020886180420
10289789043328
111019983a6434
12481b5920800
132143351c005
1410050d87d28
1578110303a3
hex4378c5e280

289789043328 has 192 divisors, whose sum is σ = 908058060000. Its totient is φ = 88356538368.

The previous prime is 289789043263. The next prime is 289789043333. The reversal of 289789043328 is 823340987982.

289789043328 is a `hidden beast` number, since 2 + 8 + 97 + 8 + 90 + 433 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2897890433282 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406483 + ... + 863021.

Almost surely, 2289789043328 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 289789043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454029030000).

289789043328 is an abundant number, since it is smaller than the sum of its proper divisors (618269016672).

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

289789043328 is a wasteful number, since it uses less digits than its factorization.

289789043328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456607 (or 456592 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 289789043328 in words is "two hundred eighty-nine billion, seven hundred eighty-nine million, forty-three thousand, three hundred twenty-eight".