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4506074496 = 273372114159
BaseRepresentation
bin1000011001001010…
…10011110110000000
3102122000222022011000
410030211103312000
533212023340441
62023044452000
7216444000300
oct41445236600
912560868130
104506074496
111a0261a510
12a590aa000
1356a722691
1430a64b600
151b58dd2b6
hex10c953d80

4506074496 has 768 divisors, whose sum is σ = 17581536000. Its totient is φ = 1122508800.

The previous prime is 4506074467. The next prime is 4506074501. The reversal of 4506074496 is 6944706054.

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 95 ways as a sum of consecutive naturals, for example, 76374115 + ... + 76374173.

It is an arithmetic number, because the mean of its divisors is an integer number (22892625).

Almost surely, 24506074496 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 4506074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790768000).

4506074496 is an abundant number, since it is smaller than the sum of its proper divisors (13075461504).

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

4506074496 is a wasteful number, since it uses less digits than its factorization.

4506074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4506074496 is about 67127.3006756565. The cubic root of 4506074496 is about 1651.7061624281.

The spelling of 4506074496 in words is "four billion, five hundred six million, seventy-four thousand, four hundred ninety-six".