30199933152 has 144 divisors (see below), whose sum is σ = 93866677632. Its totient is φ = 9168814080.

The previous prime is 30199933129. The next prime is 30199933177. The reversal of 30199933152 is 25133999103.

It is a happy number.

30199933152 is a `hidden beast` number, since 301 + 9 + 9 + 9 + 331 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 30199933098 and 30199933107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52288 + ... + 251264.

It is an arithmetic number, because the mean of its divisors is an integer number (651851928).

Almost surely, 2^30199933152 is an apocalyptic number.

30199933152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30199933152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46933338816).

30199933152 is an abundant number, since it is smaller than the sum of its proper divisors (63666744480).

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

30199933152 is a wasteful number, since it uses less digits than its factorization.

30199933152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199041 (or 199030 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The spelling of 30199933152 in words is "thirty billion, one hundred ninety-nine million, nine hundred thirty-three thousand, one hundred fifty-two".