Search a number
-
+
57853511050825 = 5272943326327267
BaseRepresentation
bin11010010011110000100011…
…11110011010011001001001
321120211202000122202000102001
431021320101332122121021
530040332442312111300
6323013311442511001
715120530636053030
oct1511702176323111
9246752018660361
1057853511050825
1117485599828676
1265a4493965461
1326387412a3249
1410401a692d717
156a4d8138716a
hex349e11f9a649

57853511050825 has 48 divisors (see below), whose sum is σ = 85009695281280. Its totient is φ = 38214553144320.

The previous prime is 57853511050817. The next prime is 57853511050843. The reversal of 57853511050825 is 52805011535875.

57853511050825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57853511050825 - 23 = 57853511050817 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 10966159 + ... + 15361108.

It is an arithmetic number, because the mean of its divisors is an integer number (1771035318360).

Almost surely, 257853511050825 is an apocalyptic number.

It is an amenable number.

57853511050825 is a deficient number, since it is larger than the sum of its proper divisors (27156184230455).

57853511050825 is a wasteful number, since it uses less digits than its factorization.

57853511050825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26327746 (or 26327741 counting only the distinct ones).

The product of its (nonzero) digits is 8400000, while the sum is 55.

The spelling of 57853511050825 in words is "fifty-seven trillion, eight hundred fifty-three billion, five hundred eleven million, fifty thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 29 35 145 175 203 433 725 1015 2165 3031 5075 10825 12557 15155 62785 75775 87899 313925 439495 2197475 26327267 131636335 184290869 658181675 763490743 921454345 3817453715 4607271725 5344435201 11399706611 19087268575 26722176005 56998533055 79797946277 133610880025 284992665275 330591491719 398989731385 1652957458595 1994948656925 2314140442033 8264787292975 11570702210165 57853511050825