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4996823040 = 211335113153
BaseRepresentation
bin1001010011101010…
…10111100000000000
3110220020101220121000
410221311113200000
540213141314130
62143455132000
7234553203126
oct45165274000
913806356530
104996823040
112134638120
12b75514000
136182b8831
143558b5916
151e3a2a260
hex129d57800

4996823040 has 768 divisors, whose sum is σ = 20379340800. Its totient is φ = 1150156800.

The previous prime is 4996823033. The next prime is 4996823077. The reversal of 4996823040 is 403286994.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 94279654 + ... + 94279706.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 24996823040 is an apocalyptic number.

4996823040 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 4996823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189670400).

4996823040 is an abundant number, since it is smaller than the sum of its proper divisors (15382517760).

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

4996823040 is a wasteful number, since it uses less digits than its factorization.

4996823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4996823040 is about 70688.2100494842. The cubic root of 4996823040 is about 1709.6137015977.

The spelling of 4996823040 in words is "four billion, nine hundred ninety-six million, eight hundred twenty-three thousand, forty".