Search a number
-
+
58531235841 = 32131737795337
BaseRepresentation
bin110110100000101110…
…111100100000000001
312121002010211212002200
4312200232330200001
51424332444021331
642515555303413
74141313203311
oct664056744001
9177063755080
1058531235841
11229063a1891
12b415baab69
13569a383580
142b937a1441
1517c88285e6
hexda0bbc801

58531235841 has 48 divisors (see below), whose sum is σ = 99010036944. Its totient is φ = 32984174592.

The previous prime is 58531235809. The next prime is 58531235911. The reversal of 58531235841 is 14853213585.

58531235841 is a `hidden beast` number, since 5 + 8 + 53 + 12 + 3 + 584 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5870624400 + 52660611441 = 76620^2 + 229479^2 .

It is not a de Polignac number, because 58531235841 - 25 = 58531235809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58531235341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324076 + ... + 471261.

It is an arithmetic number, because the mean of its divisors is an integer number (2062709103).

Almost surely, 258531235841 is an apocalyptic number.

58531235841 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

58531235841 is a deficient number, since it is larger than the sum of its proper divisors (40478801103).

58531235841 is a wasteful number, since it uses less digits than its factorization.

58531235841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795410 (or 795407 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 58531235841 in words is "fifty-eight billion, five hundred thirty-one million, two hundred thirty-five thousand, eight hundred forty-one".

Divisors: 1 3 9 13 17 37 39 51 111 117 153 221 333 481 629 663 1443 1887 1989 4329 5661 8177 24531 73593 795337 2386011 7158033 10339381 13520729 29427469 31018143 40562187 88282407 93054429 121686561 175769477 264847221 382557097 500266973 527308431 1147671291 1500800919 1581925293 3443013873 4502402757 6503470649 19510411947 58531235841