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5071013706240 = 293251453151477
BaseRepresentation
bin100100111001010111111…
…1110000111101000000000
3122221210011122221011211100
41021302233332013220000
51131040414002044430
614441331434414400
71032240306206436
oct111625776075000
918853148834740
105071013706240
111685672044089
1269a968291400
132aa26b5375a1
1413761cc76d56
158bd96d1e960
hex49caff87a00

5071013706240 has 240 divisors, whose sum is σ = 17574549663528. Its totient is φ = 1351330725888.

The previous prime is 5071013706229. The next prime is 5071013706251. The reversal of 5071013706240 is 426073101705.

It is a happy number.

5071013706240 is a `hidden beast` number, since 5 + 0 + 7 + 10 + 13 + 7 + 0 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5071013706229) and next prime (5071013706251).

It can be written as a sum of positive squares in 4 ways, for example, as 4294443868416 + 776569837824 = 2072304^2 + 881232^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 5071013706195 and 5071013706204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33401382 + ... + 33552858.

Almost surely, 25071013706240 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 5071013706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787274831764).

5071013706240 is an abundant number, since it is smaller than the sum of its proper divisors (12503535957288).

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

5071013706240 is a wasteful number, since it uses less digits than its factorization.

5071013706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152959 (or 152940 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 5071013706240 its reverse (426073101705), we get a palindrome (5497086807945).

The spelling of 5071013706240 in words is "five trillion, seventy-one billion, thirteen million, seven hundred six thousand, two hundred forty".