33534802242 has 54 divisors (see below), whose sum is σ = 77214607353. Its totient is φ = 10516578624.

The previous prime is 33534802241. The next prime is 33534802243. The reversal of 33534802242 is 24220843533.

33534802242 is a `hidden beast` number, since 3 + 3 + 534 + 80 + 2 + 2 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (33534802241) and next prime (33534802243).

It can be written as a sum of positive squares in 2 ways, for example, as 30691886481 + 2842915761 = 175191^2 + 53319^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=129489.

It is a super-2 number, since 2×33534802242² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33534802197 and 33534802206.

It is not an unprimeable number, because it can be changed into a prime (33534802241) 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 26 ways as a sum of consecutive naturals, for example, 13206609 + ... + 13209147.

Almost surely, 2^33534802242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33534802242

33534802242 is an abundant number, since it is smaller than the sum of its proper divisors (43679805111).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33534802242 is an equidigital number, since it uses as much as digits as its factorization.

33534802242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 33534802242 in words is "thirty-three billion, five hundred thirty-four million, eight hundred two thousand, two hundred forty-two".