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57736527764071 = 1321720096250527
BaseRepresentation
bin11010010000010110101010…
…01110100101101001100111
321120102120001220001022111211
431020023111032211221213
530031423402101422241
6322443443353012251
715106216660403002
oct1510132516455147
9246376056038454
1057736527764071
111743aa188098a2
1265858863b4087
13262a6ba0a2800
14103866a100539
156a1cd6177781
hex3482d53a5a67

57736527764071 has 12 divisors (see below), whose sum is σ = 66197049239232. Its totient is φ = 50160241312896.

The previous prime is 57736527764051. The next prime is 57736527764189. The reversal of 57736527764071 is 17046772563775.

It is a happy number.

57736527764071 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 57736527764071 - 217 = 57736527632999 is a prime.

It is a super-4 number, since 4×577365277640714 (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57736527763988 and 57736527764006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57736527764011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10048122391 + ... + 10048128136.

It is an arithmetic number, because the mean of its divisors is an integer number (5516420769936).

Almost surely, 257736527764071 is an apocalyptic number.

57736527764071 is a deficient number, since it is larger than the sum of its proper divisors (8460521475161).

57736527764071 is a wasteful number, since it uses less digits than its factorization.

57736527764071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20096250570 (or 20096250557 counting only the distinct ones).

The product of its (nonzero) digits is 363031200, while the sum is 67.

The spelling of 57736527764071 in words is "fifty-seven trillion, seven hundred thirty-six billion, five hundred twenty-seven million, seven hundred sixty-four thousand, seventy-one".

Divisors: 1 13 17 169 221 2873 20096250527 261251256851 341636258959 3396266339063 4441271366467 57736527764071