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2400716393 is a prime number
BaseRepresentation
bin1000111100011000…
…0000011001101001
320012022101000202222
42033012000121221
514404040411033
61034115403425
7113330516105
oct21706003151
96168330688
102400716393
111022161839
1256bbb3575
132c34a9a5a
1418aba8905
15e0b68598
hex8f180669

2400716393 has 2 divisors, whose sum is σ = 2400716394. Its totient is φ = 2400716392.

The previous prime is 2400716363. The next prime is 2400716407. The reversal of 2400716393 is 3936170042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1985860969 + 414855424 = 44563^2 + 20368^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400716393 - 28 = 2400716137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2400716363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200358196 + 1200358197.

It is an arithmetic number, because the mean of its divisors is an integer number (1200358197).

Almost surely, 22400716393 is an apocalyptic number.

It is an amenable number.

2400716393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400716393 is an equidigital number, since it uses as much as digits as its factorization.

2400716393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 2400716393 is about 48997.1059655568. The cubic root of 2400716393 is about 1338.9991027671. Note that the first 3 decimals are identical.

The spelling of 2400716393 in words is "two billion, four hundred million, seven hundred sixteen thousand, three hundred ninety-three".