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2478419329 is a prime number
BaseRepresentation
bin1001001110111001…
…1010110110000001
320101201120202011111
42103232122312001
520033433404304
61045533043321
7115263134221
oct22356326601
96351522144
102478419329
111062004141
12592026541
13306614719
14197234081
15e78b6704
hex93b9ad81

2478419329 has 2 divisors, whose sum is σ = 2478419330. Its totient is φ = 2478419328.

The previous prime is 2478419327. The next prime is 2478419353. The reversal of 2478419329 is 9239148742.

2478419329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2251977025 + 226442304 = 47455^2 + 15048^2 .

It is a cyclic number.

It is not a de Polignac number, because 2478419329 - 21 = 2478419327 is a prime.

It is a super-2 number, since 2×24784193292 = 12285124740721620482, which contains 22 as substring.

Together with 2478419327, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2478419327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1239209664 + 1239209665.

It is an arithmetic number, because the mean of its divisors is an integer number (1239209665).

Almost surely, 22478419329 is an apocalyptic number.

It is an amenable number.

2478419329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2478419329 is an equidigital number, since it uses as much as digits as its factorization.

2478419329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 870912, while the sum is 49.

The square root of 2478419329 is about 49783.7255435951. The cubic root of 2478419329 is about 1353.2922534318.

The spelling of 2478419329 in words is "two billion, four hundred seventy-eight million, four hundred nineteen thousand, three hundred twenty-nine".