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5294248006068 = 22337234159191659
BaseRepresentation
bin100110100001010100111…
…0001011001000110110100
3200202010101020122120212000
41031002221301121012310
51143220104442143233
615132051032255300
71054332254355060
oct115025161310664
920663336576760
105294248006068
111761306a8466a
12716088b41530
132c532631c068
141443589d6aa0
1592aaee35d13
hex4d0a9c591b4

5294248006068 has 768 divisors, whose sum is σ = 17167417344000. Its totient is φ = 1378300492800.

The previous prime is 5294248006031. The next prime is 5294248006129. The reversal of 5294248006068 is 8606008424925.

5294248006068 is a `hidden beast` number, since 5 + 2 + 9 + 4 + 24 + 8 + 0 + 0 + 606 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8033759923 + ... + 8033760581.

It is an arithmetic number, because the mean of its divisors is an integer number (22353408000).

Almost surely, 25294248006068 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 5294248006068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583708672000).

5294248006068 is an abundant number, since it is smaller than the sum of its proper divisors (11873169337932).

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

5294248006068 is a wasteful number, since it uses less digits than its factorization.

5294248006068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 5294248006068 in words is "five trillion, two hundred ninety-four billion, two hundred forty-eight million, six thousand, sixty-eight".