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4259128645 = 529372573089
BaseRepresentation
bin1111110111011101…
…0010010101000101
3101222211022011010101
43331313102111011
532210314104040
61542343524101
7210354665452
oct37567222505
911884264111
104259128645
111896192432
129aa459631
1352b50c185
142c5928829
1519ddae09a
hexfddd2545

4259128645 has 32 divisors (see below), whose sum is σ = 5452984800. Its totient is φ = 3187408896.

The previous prime is 4259128637. The next prime is 4259128651. The reversal of 4259128645 is 5468219524.

It is a Cunningham number, because it is equal to 652622+1.

It can be written as a sum of positive squares in 16 ways, for example, as 513566244 + 3745562401 = 22662^2 + 61201^2 .

It is a cyclic number.

It is not a de Polignac number, because 4259128645 - 23 = 4259128637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4259128595 and 4259128604.

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 31 ways as a sum of consecutive naturals, for example, 1377261 + ... + 1380349.

It is an arithmetic number, because the mean of its divisors is an integer number (170405775).

Almost surely, 24259128645 is an apocalyptic number.

It is an amenable number.

4259128645 is a deficient number, since it is larger than the sum of its proper divisors (1193856155).

4259128645 is a wasteful number, since it uses less digits than its factorization.

4259128645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417.

The product of its digits is 691200, while the sum is 46.

The square root of 4259128645 is about 65262.0000076614. Note that the first 5 decimals coincide. The cubic root of 4259128645 is about 1620.9648072139.

The spelling of 4259128645 in words is "four billion, two hundred fifty-nine million, one hundred twenty-eight thousand, six hundred forty-five".

Divisors: 1 5 29 37 145 185 257 1073 1285 3089 5365 7453 9509 15445 37265 47545 89581 114293 275761 447905 571465 793873 1378805 3314497 3969365 16572485 23022317 29373301 115111585 146866505 851825729 4259128645