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2408146821149 is a prime number
BaseRepresentation
bin100011000010110000101…
…111000110000000011101
322112012211220002121121112
4203002300233012000131
5303423341041234044
65042142023511405
7335661060146156
oct43026057060035
98465756077545
102408146821149
11849320111523
1232a86b5b8565
13146119970834
14847aaa1892d
1542994c2409e
hex230b0bc601d

2408146821149 has 2 divisors, whose sum is σ = 2408146821150. Its totient is φ = 2408146821148.

The previous prime is 2408146821061. The next prime is 2408146821163. The reversal of 2408146821149 is 9411286418042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1958418319225 + 449728501924 = 1399435^2 + 670618^2 .

It is a cyclic number.

It is not a de Polignac number, because 2408146821149 - 232 = 2403851853853 is a prime.

It is a super-2 number, since 2×24081468211492 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2408146821097 and 2408146821106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2408146821349) 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, 1204073410574 + 1204073410575.

It is an arithmetic number, because the mean of its divisors is an integer number (1204073410575).

Almost surely, 22408146821149 is an apocalyptic number.

It is an amenable number.

2408146821149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2408146821149 is an equidigital number, since it uses as much as digits as its factorization.

2408146821149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 884736, while the sum is 50.

The spelling of 2408146821149 in words is "two trillion, four hundred eight billion, one hundred forty-six million, eight hundred twenty-one thousand, one hundred forty-nine".