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3966640001 is a prime number
BaseRepresentation
bin1110110001101110…
…0001111110000001
3101020102221012010122
43230123201332001
531110424440001
61453334510025
7200203612052
oct35433417601
911212835118
103966640001
111756079385
12928505315
134b2a4127c
14298b4c729
15183385b1b
hexec6e1f81

3966640001 has 2 divisors, whose sum is σ = 3966640002. Its totient is φ = 3966640000.

The previous prime is 3966639979. The next prime is 3966640003. The reversal of 3966640001 is 1000466693.

3966640001 is digitally balanced in base 3, 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., 2897022976 + 1069617025 = 53824^2 + 32705^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3966640001 is a prime.

Together with 3966640003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3966640003) 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, 1983320000 + 1983320001.

It is an arithmetic number, because the mean of its divisors is an integer number (1983320001).

Almost surely, 23966640001 is an apocalyptic number.

It is an amenable number.

3966640001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3966640001 is an equidigital number, since it uses as much as digits as its factorization.

3966640001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3966640001 is about 62981.2670641041. The cubic root of 3966640001 is about 1582.9757519464.

The spelling of 3966640001 in words is "three billion, nine hundred sixty-six million, six hundred forty thousand, one".