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58329007945 = 5136114710973
BaseRepresentation
bin110110010100101011…
…100000011101001001
312120120001022121120121
4312110223200131021
51423424211223240
642443533023241
74133306246515
oct662453403511
9176501277517
1058329007945
1122812227a9a
12b37a324b21
1356674c91b0
142b7499d145
1517b5bce04a
hexd94ae0749

58329007945 has 16 divisors (see below), whose sum is σ = 76614752592. Its totient is φ = 42367599360.

The previous prime is 58329007859. The next prime is 58329007949. The reversal of 58329007945 is 54970092385.

It can be written as a sum of positive squares in 8 ways, for example, as 5680787641 + 52648220304 = 75371^2 + 229452^2 .

It is not a de Polignac number, because 58329007945 - 27 = 58329007817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58329007892 and 58329007901.

It is not an unprimeable number, because it can be changed into a prime (58329007949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7351522 + ... + 7359451.

It is an arithmetic number, because the mean of its divisors is an integer number (4788422037).

Almost surely, 258329007945 is an apocalyptic number.

It is an amenable number.

58329007945 is a deficient number, since it is larger than the sum of its proper divisors (18285744647).

58329007945 is a wasteful number, since it uses less digits than its factorization.

58329007945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14711052.

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 58329007945 in words is "fifty-eight billion, three hundred twenty-nine million, seven thousand, nine hundred forty-five".

Divisors: 1 5 13 61 65 305 793 3965 14710973 73554865 191242649 897369353 956213245 4486846765 11665801589 58329007945