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4991490000 = 243354719139
BaseRepresentation
bin1001010011000010…
…00001011111010000
3110212212100222001000
410221201001133100
540210310140000
62143144542000
7234456651660
oct45141013720
913785328030
104991490000
112131625352
12b73781900
1361716c2a3
14354cc81a0
151e3325000
hex1298417d0

4991490000 has 800 divisors, whose sum is σ = 21693056000. Its totient is φ = 1073088000.

The previous prime is 4991489999. The next prime is 4991490029. The reversal of 4991490000 is 941994.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 35909931 + ... + 35910069.

It is an arithmetic number, because the mean of its divisors is an integer number (27116320).

Almost surely, 24991490000 is an apocalyptic number.

4991490000 is a gapful number since it is divisible by the number (40) 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 4991490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10846528000).

4991490000 is an abundant number, since it is smaller than the sum of its proper divisors (16701566000).

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

4991490000 is a wasteful number, since it uses less digits than its factorization.

4991490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 4991490000 is about 70650.4777053913. The cubic root of 4991490000 is about 1709.0052694169.

The spelling of 4991490000 in words is "four billion, nine hundred ninety-one million, four hundred ninety thousand".