39824242893 has 32 divisors (see below), whose sum is σ = 60616080000. Its totient is φ = 25822291968.

The previous prime is 39824242889. The next prime is 39824242903.

39824242893 is a `hidden beast` number, since 3 + 98 + 2 + 42 + 428 + 93 = 666.

39824242893 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 39824242893 - 2² = 39824242889 is a prime.

It is a super-3 number, since 3×39824242893³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39824242793) 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 31 ways as a sum of consecutive naturals, for example, 3489805 + ... + 3501197.

It is an arithmetic number, because the mean of its divisors is an integer number (1894252500).

Almost surely, 2^39824242893 is an apocalyptic number.

It is an amenable number.

39824242893 is a deficient number, since it is larger than the sum of its proper divisors (20791837107).

39824242893 is a wasteful number, since it uses less digits than its factorization.

39824242893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14938 (or 14932 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 39824242893 in words is "thirty-nine billion, eight hundred twenty-four million, two hundred forty-two thousand, eight hundred ninety-three".