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416148816449 is a prime number
BaseRepresentation
bin1100000111001000110…
…01110000001001000001
31110210011010102020120202
412003210121300021001
523304233044111244
6515102013214545
742031361401352
oct6034431601101
91423133366522
10416148816449
111505401811a3
126879b491455
133032019a832
14161dabd1d29
15ac594d804e
hex60e4670241

416148816449 has 2 divisors, whose sum is σ = 416148816450. Its totient is φ = 416148816448.

The previous prime is 416148816437. The next prime is 416148816463. The reversal of 416148816449 is 944618841614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 272007100849 + 144141715600 = 521543^2 + 379660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-416148816449 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 416148816394 and 416148816403.

It is not a weakly prime, because it can be changed into another prime (416148816649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208074408224 + 208074408225.

It is an arithmetic number, because the mean of its divisors is an integer number (208074408225).

Almost surely, 2416148816449 is an apocalyptic number.

It is an amenable number.

416148816449 is a deficient number, since it is larger than the sum of its proper divisors (1).

416148816449 is an equidigital number, since it uses as much as digits as its factorization.

416148816449 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5308416, while the sum is 56.

The spelling of 416148816449 in words is "four hundred sixteen billion, one hundred forty-eight million, eight hundred sixteen thousand, four hundred forty-nine".