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4453680000 = 27354711241
BaseRepresentation
bin1000010010111010…
…11100001110000000
3102111101101101102010
410021131130032000
533110120230000
62013533452520
7215236440540
oct41135341600
912441341363
104453680000
111985a93780
12a43641140
1355c909413
143036cd320
151b0eddd50
hex10975c380

4453680000 has 640 divisors, whose sum is σ = 18507075840. Its totient is φ = 921600000.

The previous prime is 4453679987. The next prime is 4453680001. The reversal of 4453680000 is 863544.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4453680000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4453680001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 18479880 + ... + 18480120.

It is an arithmetic number, because the mean of its divisors is an integer number (28917306).

Almost surely, 24453680000 is an apocalyptic number.

4453680000 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 4453680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253537920).

4453680000 is an abundant number, since it is smaller than the sum of its proper divisors (14053395840).

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

4453680000 is a wasteful number, since it uses less digits than its factorization.

4453680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4453680000 is about 66735.8973866389. The cubic root of 4453680000 is about 1645.2794368898.

The spelling of 4453680000 in words is "four billion, four hundred fifty-three million, six hundred eighty thousand".