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104736497149 is a prime number
BaseRepresentation
bin110000110001011001…
…0000001110111111101
3101000100021012022212001
41201202302001313331
53204000020402044
6120040522342301
710365316352044
oct1414262016775
9330307168761
10104736497149
1140467027559
121837005a991
139b51bab88b
1450d812d55b
152acee912d4
hex1862c81dfd

104736497149 has 2 divisors, whose sum is σ = 104736497150. Its totient is φ = 104736497148.

The previous prime is 104736497147. The next prime is 104736497183. The reversal of 104736497149 is 941794637401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81401796100 + 23334701049 = 285310^2 + 152757^2 .

It is a cyclic number.

It is not a de Polignac number, because 104736497149 - 21 = 104736497147 is a prime.

Together with 104736497147, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 104736497149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104736497147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52368248574 + 52368248575.

It is an arithmetic number, because the mean of its divisors is an integer number (52368248575).

Almost surely, 2104736497149 is an apocalyptic number.

It is an amenable number.

104736497149 is a deficient number, since it is larger than the sum of its proper divisors (1).

104736497149 is an equidigital number, since it uses as much as digits as its factorization.

104736497149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 104736497149 in words is "one hundred four billion, seven hundred thirty-six million, four hundred ninety-seven thousand, one hundred forty-nine".