4970945100 has 288 divisors, whose sum is σ = 16398950400. Its totient is φ = 1151539200.

The previous prime is 4970945093. The next prime is 4970945131. The reversal of 4970945100 is 15490794.

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 95 ways as a sum of consecutive naturals, for example, 12153696 + ... + 12154104.

It is an arithmetic number, because the mean of its divisors is an integer number (56940800).

Almost surely, 2^4970945100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4970945100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199475200).

4970945100 is an abundant number, since it is smaller than the sum of its proper divisors (11428005300).

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

4970945100 is a wasteful number, since it uses less digits than its factorization.

4970945100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 4970945100 is about 70504.9296148858. The cubic root of 4970945100 is about 1706.6572981426.

The spelling of 4970945100 in words is "four billion, nine hundred seventy million, nine hundred forty-five thousand, one hundred".