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4920351744 = 210371123161
BaseRepresentation
bin1001001010100011…
…01001110000000000
3110200220111202200210
410211101221300000
540034102223434
62132124114120
7232634204550
oct44521516000
913626452623
104920351744
1120a5457100
12b53995940
136054c2649
1434968b160
151dbe71ee9
hex125469c00

4920351744 has 528 divisors, whose sum is σ = 17284671488. Its totient is φ = 1216512000.

The previous prime is 4920351731. The next prime is 4920351749. The reversal of 4920351744 is 4471530294.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×49203517442 = 48419722569367683072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4920351749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80661474 + ... + 80661534.

Almost surely, 24920351744 is an apocalyptic number.

4920351744 is a gapful number since it is divisible by the number (44) 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 4920351744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642335744).

4920351744 is an abundant number, since it is smaller than the sum of its proper divisors (12364319744).

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

4920351744 is a wasteful number, since it uses less digits than its factorization.

4920351744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4920351744 is about 70145.2189675105. The cubic root of 4920351744 is about 1700.8475294152.

The spelling of 4920351744 in words is "four billion, nine hundred twenty million, three hundred fifty-one thousand, seven hundred forty-four".