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13583271413893 is a prime number
BaseRepresentation
bin1100010110101001101000…
…0100010100100010000101
31210002112210112120100201111
43011222122010110202011
53240022014440221033
644520022503125021
72601234061665346
oct305523204244205
953075715510644
1013583271413893
1143676a6663a15
121634642143771
13776b87921a5c
1434d61067c0cd
151884eaa917cd
hexc5a9a114885

13583271413893 has 2 divisors, whose sum is σ = 13583271413894. Its totient is φ = 13583271413892.

The previous prime is 13583271413827. The next prime is 13583271413911. The reversal of 13583271413893 is 39831417238531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13469244982209 + 114026431684 = 3670047^2 + 337678^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13583271413893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13583271413813) 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, 6791635706946 + 6791635706947.

It is an arithmetic number, because the mean of its divisors is an integer number (6791635706947).

Almost surely, 213583271413893 is an apocalyptic number.

It is an amenable number.

13583271413893 is a deficient number, since it is larger than the sum of its proper divisors (1).

13583271413893 is an equidigital number, since it uses as much as digits as its factorization.

13583271413893 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13063680, while the sum is 58.

The spelling of 13583271413893 in words is "thirteen trillion, five hundred eighty-three billion, two hundred seventy-one million, four hundred thirteen thousand, eight hundred ninety-three".