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5024465238240 = 25310571741109
BaseRepresentation
bin100100100011101100101…
…1101110011100011100000
3122210100000121210000000000
41021013121131303203200
51124310101100110430
614404112451300000
71026001634566260
oct111073135634340
918710017700000
105024465238240
111667955704118
126919372aa600
132a5a608941b6
14135284ac97a0
158aa704b0e60
hex491d97738e0

5024465238240 has 2112 divisors, whose sum is σ = 22273969576320. Its totient is φ = 1044855521280.

The previous prime is 5024465238217. The next prime is 5024465238259. The reversal of 5024465238240 is 428325644205.

It is a happy number.

5024465238240 is a `hidden beast` number, since 5 + 0 + 2 + 4 + 4 + 6 + 523 + 82 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 46096011306 + ... + 46096011414.

It is an arithmetic number, because the mean of its divisors is an integer number (10546387110).

Almost surely, 25024465238240 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 5024465238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136984788160).

5024465238240 is an abundant number, since it is smaller than the sum of its proper divisors (17249504338080).

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

5024465238240 is a wasteful number, since it uses less digits than its factorization.

5024465238240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 5024465238240 in words is "five trillion, twenty-four billion, four hundred sixty-five million, two hundred thirty-eight thousand, two hundred forty".