| Base | Representation |
|---|---|
| bin | 100111001010001111000… |
| … | …1010110101110100000000 |
| 3 | 201001112010211000102211000 |
| 4 | 1032110132022311310000 |
| 5 | 1201140020121231344 |
| 6 | 15240300325252000 |
| 7 | 1063562313463515 |
| oct | 116243612656400 |
| 9 | 21045124012730 |
| 10 | 5382100180224 |
| 11 | 1795599271379 |
| 12 | 72b106564000 |
| 13 | 3006b7179871 |
| 14 | 1486d055930c |
| 15 | 9500294ea69 |
| hex | 4e51e2b5d00 |
5382100180224 has 576 divisors, whose sum is σ = 16505421004800. Its totient is φ = 1728967016448.
The previous prime is 5382100180189. The next prime is 5382100180229. The reversal of 5382100180224 is 4220810012835.
It is a happy number.
5382100180224 is a `hidden beast` number, since 538 + 2 + 100 + 18 + 0 + 2 + 2 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5382100180229) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 7997176752 + ... + 7997177424.
It is an arithmetic number, because the mean of its divisors is an integer number (28655244800).
Almost surely, 25382100180224 is an apocalyptic number.
5382100180224 is a gapful number since it is divisible by the number (54) 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 5382100180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8252710502400).
5382100180224 is an abundant number, since it is smaller than the sum of its proper divisors (11123320824576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5382100180224 is a wasteful number, since it uses less digits than its factorization.
5382100180224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1087 (or 1067 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The spelling of 5382100180224 in words is "five trillion, three hundred eighty-two billion, one hundred million, one hundred eighty thousand, two hundred twenty-four".
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