29946302500 has 45 divisors (see below), whose sum is σ = 65505501061. Its totient is φ = 11975060000.

The previous prime is 29946302497. The next prime is 29946302537. The reversal of 29946302500 is 520364992.

The square root of 29946302500 is 173050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 29017759716 + 928542784 = 170346^2 + 30472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8650770 + ... + 8654230.

Almost surely, 2^29946302500 is an apocalyptic number.

29946302500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29946302500 is the 173050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29946302500

29946302500 is an abundant number, since it is smaller than the sum of its proper divisors (35559198561).

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

29946302500 is an frugal number, since it uses more digits than its factorization.

29946302500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 29946302500 in words is "twenty-nine billion, nine hundred forty-six million, three hundred two thousand, five hundred".