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58629049117 is a prime number
BaseRepresentation
bin110110100110100100…
…000100101100011101
312121022221220021200121
4312212210010230131
51430033014032432
642533411554541
74143611460232
oct664644045435
9177287807617
1058629049117
112295662a401
12b4428bba51
1356b470c952
142ba2783789
1517d21ea197
hexda6904b1d

58629049117 has 2 divisors, whose sum is σ = 58629049118. Its totient is φ = 58629049116.

The previous prime is 58629049079. The next prime is 58629049147. The reversal of 58629049117 is 71194092685.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54968678116 + 3660371001 = 234454^2 + 60501^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58629049117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58629049147) 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 as a sum of consecutive naturals, namely, 29314524558 + 29314524559.

It is an arithmetic number, because the mean of its divisors is an integer number (29314524559).

Almost surely, 258629049117 is an apocalyptic number.

It is an amenable number.

58629049117 is a deficient number, since it is larger than the sum of its proper divisors (1).

58629049117 is an equidigital number, since it uses as much as digits as its factorization.

58629049117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 58629049117 in words is "fifty-eight billion, six hundred twenty-nine million, forty-nine thousand, one hundred seventeen".