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247664129 is a prime number
BaseRepresentation
bin11101100001100…
…00111000000001
3122021000122022112
432300300320001
51001400223004
640324145105
76065052566
oct1660607001
9567018275
10247664129
111178887a9
126ab38195
133c40542b
1424c6c86d
1516b21e6e
hexec30e01

247664129 has 2 divisors, whose sum is σ = 247664130. Its totient is φ = 247664128.

The previous prime is 247664119. The next prime is 247664159. The reversal of 247664129 is 921466742.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205062400 + 42601729 = 14320^2 + 6527^2 .

It is a cyclic number.

It is not a de Polignac number, because 247664129 - 24 = 247664113 is a prime.

It is a super-2 number, since 2×2476641292 = 122675041586657282, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (247664119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123832064 + 123832065.

It is an arithmetic number, because the mean of its divisors is an integer number (123832065).

Almost surely, 2247664129 is an apocalyptic number.

It is an amenable number.

247664129 is a deficient number, since it is larger than the sum of its proper divisors (1).

247664129 is an equidigital number, since it uses as much as digits as its factorization.

247664129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 41.

The square root of 247664129 is about 15737.3482200782. The cubic root of 247664129 is about 627.9923736683.

The spelling of 247664129 in words is "two hundred forty-seven million, six hundred sixty-four thousand, one hundred twenty-nine".