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15382401413 is a prime number
BaseRepresentation
bin11100101001101110…
…01101000110000101
31110201000200221210212
432110313031012011
5223000343321123
611022214125205
71053122153231
oct162467150605
943630627725
1015382401413
116583a67945
122b93650805
1315b1b38292
14a5cd275c1
1560069d878
hex394dcd185

15382401413 has 2 divisors, whose sum is σ = 15382401414. Its totient is φ = 15382401412.

The previous prime is 15382401367. The next prime is 15382401421. The reversal of 15382401413 is 31410428351.

15382401413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8941215364 + 6441186049 = 94558^2 + 80257^2 .

It is a cyclic number.

It is not a de Polignac number, because 15382401413 - 226 = 15315292549 is a prime.

It is a super-3 number, since 3×153824014133 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15382401413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15382401913) 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, 7691200706 + 7691200707.

It is an arithmetic number, because the mean of its divisors is an integer number (7691200707).

Almost surely, 215382401413 is an apocalyptic number.

It is an amenable number.

15382401413 is a deficient number, since it is larger than the sum of its proper divisors (1).

15382401413 is an equidigital number, since it uses as much as digits as its factorization.

15382401413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 15382401413 its reverse (31410428351), we get a palindrome (46792829764).

The spelling of 15382401413 in words is "fifteen billion, three hundred eighty-two million, four hundred one thousand, four hundred thirteen".