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3645315427729 is a prime number
BaseRepresentation
bin110101000010111101101…
…110110010110110010001
3110220111012022002120111111
4311002331232302312101
5434211101222141404
611430345040413321
7524236212613543
oct65027556626621
913814168076444
103645315427729
111185a73586898
124aa5a0917241
132059a083b571
14c8611677693
1564c52a5a104
hex350bdbb2d91

3645315427729 has 2 divisors, whose sum is σ = 3645315427730. Its totient is φ = 3645315427728.

The previous prime is 3645315427697. The next prime is 3645315427751. The reversal of 3645315427729 is 9277245135463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2958836896129 + 686478531600 = 1720127^2 + 828540^2 .

It is a cyclic number.

It is not a de Polignac number, because 3645315427729 - 25 = 3645315427697 is a prime.

It is not a weakly prime, because it can be changed into another prime (3645315425729) 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, 1822657713864 + 1822657713865.

It is an arithmetic number, because the mean of its divisors is an integer number (1822657713865).

Almost surely, 23645315427729 is an apocalyptic number.

It is an amenable number.

3645315427729 is a deficient number, since it is larger than the sum of its proper divisors (1).

3645315427729 is an equidigital number, since it uses as much as digits as its factorization.

3645315427729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38102400, while the sum is 58.

The spelling of 3645315427729 in words is "three trillion, six hundred forty-five billion, three hundred fifteen million, four hundred twenty-seven thousand, seven hundred twenty-nine".