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58329007949 is a prime number
BaseRepresentation
bin110110010100101011…
…100000011101001101
312120120001022121120202
4312110223200131031
51423424211223244
642443533023245
74133306246522
oct662453403515
9176501277522
1058329007949
1122812227aa3
12b37a324b25
1356674c91b4
142b7499d149
1517b5bce04e
hexd94ae074d

58329007949 has 2 divisors, whose sum is σ = 58329007950. Its totient is φ = 58329007948.

The previous prime is 58329007859. The next prime is 58329008041. The reversal of 58329007949 is 94970092385.

58329007949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55463547049 + 2865460900 = 235507^2 + 53530^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58329007949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 58329007894 and 58329007903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58329000949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29164503974 + 29164503975.

It is an arithmetic number, because the mean of its divisors is an integer number (29164503975).

Almost surely, 258329007949 is an apocalyptic number.

It is an amenable number.

58329007949 is a deficient number, since it is larger than the sum of its proper divisors (1).

58329007949 is an equidigital number, since it uses as much as digits as its factorization.

58329007949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 58329007949 in words is "fifty-eight billion, three hundred twenty-nine million, seven thousand, nine hundred forty-nine".