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4573806480 = 24335173431
BaseRepresentation
bin1000100001001111…
…01011111110010000
3102210202102102222000
410100213223332100
533331343301410
62033504314000
7221225466525
oct42047537620
912722372860
104573806480
111a37881561
12a77912900
1357b778a89
1431563d14c
151bb81bdc0
hex1109ebf90

4573806480 has 320 divisors, whose sum is σ = 16777497600. Its totient is φ = 1145272320.

The previous prime is 4573806449. The next prime is 4573806481. The reversal of 4573806480 is 846083754.

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

It is not an unprimeable number, because it can be changed into a prime (4573806481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10611865 + ... + 10612295.

It is an arithmetic number, because the mean of its divisors is an integer number (52429680).

Almost surely, 24573806480 is an apocalyptic number.

4573806480 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 4573806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388748800).

4573806480 is an abundant number, since it is smaller than the sum of its proper divisors (12203691120).

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

4573806480 is a wasteful number, since it uses less digits than its factorization.

4573806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4573806480 is about 67629.9229631381. The cubic root of 4573806480 is about 1659.9407827136.

The spelling of 4573806480 in words is "four billion, five hundred seventy-three million, eight hundred six thousand, four hundred eighty".