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12648612735049 is a prime number
BaseRepresentation
bin1011100000001111110000…
…0100011010100001001001
31122210012021120100222011011
42320003330010122201021
53124213324330010144
642522405324003521
72443555262211034
oct270037404324111
948705246328134
1012648612735049
11403727915a795
1215034769905a1
137099b3879a75
1431a2a623801b
1516e045956a34
hexb80fc11a849

12648612735049 has 2 divisors, whose sum is σ = 12648612735050. Its totient is φ = 12648612735048.

The previous prime is 12648612734999. The next prime is 12648612735053. The reversal of 12648612735049 is 94053721684621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12571584283449 + 77028451600 = 3545643^2 + 277540^2 .

It is an emirp because it is prime and its reverse (94053721684621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12648612735049 - 237 = 12511173781577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12648612734984 and 12648612735002.

It is not a weakly prime, because it can be changed into another prime (12648612745049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6324306367524 + 6324306367525.

It is an arithmetic number, because the mean of its divisors is an integer number (6324306367525).

It is a 1-persistent number, because it is pandigital, but 2⋅12648612735049 = 25297225470098 is not.

Almost surely, 212648612735049 is an apocalyptic number.

It is an amenable number.

12648612735049 is a deficient number, since it is larger than the sum of its proper divisors (1).

12648612735049 is an equidigital number, since it uses as much as digits as its factorization.

12648612735049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 12648612735049 in words is "twelve trillion, six hundred forty-eight billion, six hundred twelve million, seven hundred thirty-five thousand, forty-nine".