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2445666048 = 2834722983
BaseRepresentation
bin1001000111000101…
…1110011100000000
320022102221201010000
42101301132130000
520002042303143
61042403040000
7114414550500
oct22161363400
96272851100
102445666048
111045573111
12583070000
132cc8b7497
14192b49a00
15e4a96bd3
hex91c5e700

2445666048 has 540 divisors, whose sum is σ = 8881404840. Its totient is φ = 666537984.

The previous prime is 2445666037. The next prime is 2445666059. The reversal of 2445666048 is 8406665442.

It is an interprime number because it is at equal distance from previous prime (2445666037) and next prime (2445666059).

It is a junction number, because it is equal to n+sod(n) for n = 2445665994 and 2445666012.

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 59 ways as a sum of consecutive naturals, for example, 29465815 + ... + 29465897.

It is an arithmetic number, because the mean of its divisors is an integer number (16447046).

Almost surely, 22445666048 is an apocalyptic number.

2445666048 is a gapful number since it is divisible by the number (28) 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 2445666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440702420).

2445666048 is an abundant number, since it is smaller than the sum of its proper divisors (6435738792).

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

2445666048 is an equidigital number, since it uses as much as digits as its factorization.

2445666048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 2445666048 is about 49453.6757784495. The cubic root of 2445666048 is about 1347.3043691933.

The spelling of 2445666048 in words is "two billion, four hundred forty-five million, six hundred sixty-six thousand, forty-eight".