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58130287760809 = 1121095937432517
BaseRepresentation
bin11010011011110100000110…
…01001110001010110101001
321121211012102200221200020201
431031322003021301112221
530104401312131321214
6323344404024152201
715146526502220455
oct1515720311612651
9247735380850221
1058130287760809
1117581a09a95400
12662a057908661
13265887c9c2914
14104d74165b665
156ac17ed2b274
hex34de832715a9

58130287760809 has 24 divisors (see below), whose sum is σ = 64590216573960. Its totient is φ = 52272587727360.

The previous prime is 58130287760789. The next prime is 58130287760813. The reversal of 58130287760809 is 90806778203185.

It is a happy number.

58130287760809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12153032654400 + 45977255106409 = 3486120^2 + 6780653^2 .

It is not a de Polignac number, because 58130287760809 - 211 = 58130287758761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58130287766809) 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 23 ways as a sum of consecutive naturals, for example, 4104819 + ... + 11537335.

It is an arithmetic number, because the mean of its divisors is an integer number (2691259023915).

Almost surely, 258130287760809 is an apocalyptic number.

It is an amenable number.

58130287760809 is a deficient number, since it is larger than the sum of its proper divisors (6459928813151).

58130287760809 is a wasteful number, since it uses less digits than its factorization.

58130287760809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433241 (or 7433230 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 64.

The spelling of 58130287760809 in words is "fifty-eight trillion, one hundred thirty billion, two hundred eighty-seven million, seven hundred sixty thousand, eight hundred nine".

Divisors: 1 11 109 121 593 1199 6523 13189 64637 71753 711007 7432517 7821077 81757687 810144353 899334557 4407482581 8911587883 48482308391 98027466713 480415601329 533305392301 5284571614619 58130287760809