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4845115080 = 2332513297821
BaseRepresentation
bin1001000001100101…
…01001011011001000
3110111122221100101200
410200302221123020
534410322140310
62120435344200
7231031540641
oct44062513310
913448840350
104845115080
112066a39743
12b32752060
135c2a3c400
1433d6a46c8
151d555e9c0
hex120ca96c8

4845115080 has 288 divisors, whose sum is σ = 17247845160. Its totient is φ = 1178910720.

The previous prime is 4845115069. The next prime is 4845115081. The reversal of 4845115080 is 805115484.

4845115080 is a `hidden beast` number, since 484 + 51 + 1 + 50 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 214856964 + 4630258116 = 14658^2 + 68046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4845115081) 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 71 ways as a sum of consecutive naturals, for example, 5901070 + ... + 5901890.

Almost surely, 24845115080 is an apocalyptic number.

4845115080 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 4845115080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8623922580).

4845115080 is an abundant number, since it is smaller than the sum of its proper divisors (12402730080).

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

4845115080 is a wasteful number, since it uses less digits than its factorization.

4845115080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 4845115080 is about 69606.8608687391. The cubic root of 4845115080 is about 1692.1337938900.

The spelling of 4845115080 in words is "four billion, eight hundred forty-five million, one hundred fifteen thousand, eighty".