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46145816143129 is a prime number
BaseRepresentation
bin10100111111000001010001…
…11110101010010100011001
320001101111102021021010102101
422133200220332222110121
522022023112413040004
6242051032325203401
712501632225241553
oct1237405076522431
9201344367233371
1046145816143129
111378137021501a
125213450560561
131c996bb460a51
14b576801264d3
1555055a2e2ba4
hex29f828faa519

46145816143129 has 2 divisors, whose sum is σ = 46145816143130. Its totient is φ = 46145816143128.

The previous prime is 46145816143099. The next prime is 46145816143157. The reversal of 46145816143129 is 92134161854164.

46145816143129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26272052143129 + 19873764000000 = 5125627^2 + 4458000^2 .

It is a cyclic number.

It is not a de Polignac number, because 46145816143129 - 211 = 46145816141081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 46145816143129.

It is not a weakly prime, because it can be changed into another prime (46145816147129) 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 as a sum of consecutive naturals, namely, 23072908071564 + 23072908071565.

It is an arithmetic number, because the mean of its divisors is an integer number (23072908071565).

Almost surely, 246145816143129 is an apocalyptic number.

It is an amenable number.

46145816143129 is a deficient number, since it is larger than the sum of its proper divisors (1).

46145816143129 is an equidigital number, since it uses as much as digits as its factorization.

46145816143129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4976640, while the sum is 55.

The spelling of 46145816143129 in words is "forty-six trillion, one hundred forty-five billion, eight hundred sixteen million, one hundred forty-three thousand, one hundred twenty-nine".