29930026216311 has 32 divisors (see below), whose sum is σ = 47769448009920. Its totient is φ = 18411596825472.

The previous prime is 29930026216303. The next prime is 29930026216397. The reversal of 29930026216311 is 11361262003992.

29930026216311 is a `hidden beast` number, since 2 + 9 + 9 + 3 + 0 + 0 + 2 + 6 + 2 + 1 + 631 + 1 = 666.

It is not a de Polignac number, because 29930026216311 - 2³ = 29930026216303 is a prime.

It is a super-3 number, since 3×29930026216311³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29930026211311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14986920 + ... + 16866173.

It is an arithmetic number, because the mean of its divisors is an integer number (1492795250310).

Almost surely, 2^{29930026216311} is an apocalyptic number.

29930026216311 is a deficient number, since it is larger than the sum of its proper divisors (17839421793609).

29930026216311 is a wasteful number, since it uses less digits than its factorization.

29930026216311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31855792 (or 31855786 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 29930026216311 in words is "twenty-nine trillion, nine hundred thirty billion, twenty-six million, two hundred sixteen thousand, three hundred eleven".