47128068100 has 81 divisors (see below), whose sum is σ = 108722674333. Its totient is φ = 17728437760.

The previous prime is 47128068059. The next prime is 47128068101. The reversal of 47128068100 is 186082174.

The square root of 47128068100 is 217090.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9752352516 + 37375715584 = 98754^2 + 193328^2 .

It is a super-2 number, since 2×47128068100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47128068100.

It is not an unprimeable number, because it can be changed into a prime (47128068101) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 36904662 + ... + 36905938.

Almost surely, 2^47128068100 is an apocalyptic number.

47128068100 is the 217090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47128068100

47128068100 is an abundant number, since it is smaller than the sum of its proper divisors (61594606233).

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

47128068100 is a wasteful number, since it uses less digits than its factorization.

47128068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 47128068100 in words is "forty-seven billion, one hundred twenty-eight million, sixty-eight thousand, one hundred".