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12458381417 is a prime number
BaseRepresentation
bin10111001101001001…
…11101000001101001
31012011020122100102222
423212210331001221
5201003321201132
65420122203425
7620505331466
oct134644750151
935136570388
1012458381417
115313482399
1224b8353575
131237107431
1486285c66d
154cdb17412
hex2e693d069

12458381417 has 2 divisors, whose sum is σ = 12458381418. Its totient is φ = 12458381416.

The previous prime is 12458381381. The next prime is 12458381459. The reversal of 12458381417 is 71418385421.

12458381417 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., 6925401961 + 5532979456 = 83219^2 + 74384^2 .

It is a cyclic number.

It is not a de Polignac number, because 12458381417 - 218 = 12458119273 is a prime.

It is a super-2 number, since 2×124583814172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12458381017) 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, 6229190708 + 6229190709.

It is an arithmetic number, because the mean of its divisors is an integer number (6229190709).

Almost surely, 212458381417 is an apocalyptic number.

It is an amenable number.

12458381417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12458381417 is an equidigital number, since it uses as much as digits as its factorization.

12458381417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 215040, while the sum is 44.

The spelling of 12458381417 in words is "twelve billion, four hundred fifty-eight million, three hundred eighty-one thousand, four hundred seventeen".