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287649050513 = 1183973248033
BaseRepresentation
bin1000010111110010011…
…10000010111110010001
31000111110202102210012112
410023321032002332101
514203101124104023
6340051045235105
726532132405266
oct4137116027621
91014422383175
10287649050513
11100a9a432130
12478b9102a95
132118206a986
14dccaa8b26d
157738218478
hex42f9382f91

287649050513 has 16 divisors (see below), whose sum is σ = 320853790656. Its totient is φ = 255685079040.

The previous prime is 287649050489. The next prime is 287649050527. The reversal of 287649050513 is 315050946782.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 287649050513 - 216 = 287648984977 is a prime.

It is a super-2 number, since 2×2876490505132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (287649050573) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1535456 + ... + 1712577.

It is an arithmetic number, because the mean of its divisors is an integer number (20053361916).

It is a 1-persistent number, because it is pandigital, but 2⋅287649050513 = 575298101026 is not.

Almost surely, 2287649050513 is an apocalyptic number.

It is an amenable number.

287649050513 is a deficient number, since it is larger than the sum of its proper divisors (33204740143).

287649050513 is a wasteful number, since it uses less digits than its factorization.

287649050513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248224.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 287649050513 in words is "two hundred eighty-seven billion, six hundred forty-nine million, fifty thousand, five hundred thirteen".

Divisors: 1 11 83 97 913 1067 8051 88561 3248033 35728363 269586739 315059201 2965454129 3465651211 26149913683 287649050513