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963149462129 is a prime number
BaseRepresentation
bin11100000010000000010…
…11100111101001110001
310102002001112122010211002
432001000023213221301
5111240012230242004
62014244215331345
7126404512230401
oct16010013475161
93362045563732
10963149462129
11341518842418
121367b8980b55
136ca9486b94a
143488c26a801
151a0c14e861e
hexe0402e7a71

963149462129 has 2 divisors, whose sum is σ = 963149462130. Its totient is φ = 963149462128.

The previous prime is 963149462123. The next prime is 963149462237. The reversal of 963149462129 is 921264941369.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 706485637729 + 256663824400 = 840527^2 + 506620^2 .

It is a cyclic number.

It is not a de Polignac number, because 963149462129 - 216 = 963149396593 is a prime.

It is not a weakly prime, because it can be changed into another prime (963149462123) 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, 481574731064 + 481574731065.

It is an arithmetic number, because the mean of its divisors is an integer number (481574731065).

Almost surely, 2963149462129 is an apocalyptic number.

It is an amenable number.

963149462129 is a deficient number, since it is larger than the sum of its proper divisors (1).

963149462129 is an equidigital number, since it uses as much as digits as its factorization.

963149462129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5038848, while the sum is 56.

The spelling of 963149462129 in words is "nine hundred sixty-three billion, one hundred forty-nine million, four hundred sixty-two thousand, one hundred twenty-nine".