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13533412369 is a prime number
BaseRepresentation
bin11001001101010011…
…10111110000010001
31021221011111120200011
430212221313300101
5210204023143434
610114523554521
7656241051511
oct144651676021
937834446604
1013533412369
115815293024
12275838ba41
131378a55019
1492553b841
155431b9e64
hex326a77c11

13533412369 has 2 divisors, whose sum is σ = 13533412370. Its totient is φ = 13533412368.

The previous prime is 13533412367. The next prime is 13533412429. The reversal of 13533412369 is 96321433531.

13533412369 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., 12914049600 + 619362769 = 113640^2 + 24887^2 .

It is a cyclic number.

It is not a de Polignac number, because 13533412369 - 21 = 13533412367 is a prime.

It is a super-2 number, since 2×135334123692 (a number of 21 digits) contains 22 as substring.

Together with 13533412367, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13533412367) 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, 6766706184 + 6766706185.

It is an arithmetic number, because the mean of its divisors is an integer number (6766706185).

Almost surely, 213533412369 is an apocalyptic number.

It is an amenable number.

13533412369 is a deficient number, since it is larger than the sum of its proper divisors (1).

13533412369 is an equidigital number, since it uses as much as digits as its factorization.

13533412369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 174960, while the sum is 40.

The spelling of 13533412369 in words is "thirteen billion, five hundred thirty-three million, four hundred twelve thousand, three hundred sixty-nine".