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484269249420 = 22325115912493319
BaseRepresentation
bin1110000110000001011…
…00100101001110001100
31201021222120000210012200
413003000230211032030
530413240411440140
61010245322401500
746662433462635
oct7030054451614
91637876023180
10484269249420
11177417403790
1279a30960290
13368880b6b38
141961dd3c88c
15c8e4ac5030
hex70c0b2538c

484269249420 has 288 divisors, whose sum is σ = 1631448000000. Its totient is φ = 115281653760.

The previous prime is 484269249419. The next prime is 484269249437. The reversal of 484269249420 is 24942962484.

It is a happy number.

484269249420 is a `hidden beast` number, since 4 + 8 + 42 + 6 + 92 + 494 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145906521 + ... + 145909839.

It is an arithmetic number, because the mean of its divisors is an integer number (5664750000).

Almost surely, 2484269249420 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 484269249420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815724000000).

484269249420 is an abundant number, since it is smaller than the sum of its proper divisors (1147178750580).

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

484269249420 is a wasteful number, since it uses less digits than its factorization.

484269249420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 484269249420 in words is "four hundred eighty-four billion, two hundred sixty-nine million, two hundred forty-nine thousand, four hundred twenty".