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58953046829 is a prime number
BaseRepresentation
bin110110111001111000…
…000001101100101101
312122011112120001222212
4312321320001230231
51431213434444304
643025504220205
74154624426045
oct667170015455
9178145501885
1058953046829
1123002504706
12b51330a665
135736890681
142bd3802725
15180089966e
hexdb9e01b2d

58953046829 has 2 divisors, whose sum is σ = 58953046830. Its totient is φ = 58953046828.

The previous prime is 58953046751. The next prime is 58953046837. The reversal of 58953046829 is 92864035985.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47563248100 + 11389798729 = 218090^2 + 106723^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58953046829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58953046129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29476523414 + 29476523415.

It is an arithmetic number, because the mean of its divisors is an integer number (29476523415).

Almost surely, 258953046829 is an apocalyptic number.

It is an amenable number.

58953046829 is a deficient number, since it is larger than the sum of its proper divisors (1).

58953046829 is an equidigital number, since it uses as much as digits as its factorization.

58953046829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18662400, while the sum is 59.

The spelling of 58953046829 in words is "fifty-eight billion, nine hundred fifty-three million, forty-six thousand, eight hundred twenty-nine".