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13533412041 = 34375385201
BaseRepresentation
bin11001001101010011…
…10111101011001001
31021221011111120020000
430212221313223021
5210204023141131
610114523553213
7656241050532
oct144651675311
937834446200
1013533412041
115815292856
12275838b809
131378a54b26
1492553b689
155431b9ce6
hex326a77ac9

13533412041 has 40 divisors (see below), whose sum is σ = 21154974984. Its totient is φ = 8612697600.

The previous prime is 13533412033. The next prime is 13533412051. The reversal of 13533412041 is 14021433531.

It is a happy number.

13533412041 is a `hidden beast` number, since 1 + 3 + 533 + 4 + 120 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6908103225 + 6625308816 = 83115^2 + 81396^2 .

It is not a de Polignac number, because 13533412041 - 23 = 13533412033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13533411996 and 13533412014.

It is not an unprimeable number, because it can be changed into a prime (13533412021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116241 + ... + 201441.

Almost surely, 213533412041 is an apocalyptic number.

It is an amenable number.

13533412041 is a deficient number, since it is larger than the sum of its proper divisors (7621562943).

13533412041 is an equidigital number, since it uses as much as digits as its factorization.

13533412041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85303 (or 85294 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13533412041 its reverse (14021433531), we get a palindrome (27554845572).

The spelling of 13533412041 in words is "thirteen billion, five hundred thirty-three million, four hundred twelve thousand, forty-one".

Divisors: 1 3 9 27 37 53 81 111 159 333 477 999 1431 1961 2997 4293 5883 17649 52947 85201 158841 255603 766809 2300427 3152437 4515653 6901281 9457311 13546959 28371933 40640877 85115799 121922631 167079161 255347397 365767893 501237483 1503712449 4511137347 13533412041