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5138083814444 = 2272612511712149
BaseRepresentation
bin100101011000100110110…
…1010010001110000101100
3200012012021220011200201222
41022301031222101300230
51133140243424030234
614532223023522512
71040133335550500
oct112611552216054
920165256150658
105138083814444
11170105a400079
126ab965a59438
132b3699976549
1413a9826d6300
158d9c00d942e
hex4ac4da91c2c

5138083814444 has 72 divisors (see below), whose sum is σ = 10673502008400. Its totient is φ = 2157306480000.

The previous prime is 5138083814431. The next prime is 5138083814449. The reversal of 5138083814444 is 4444183808315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5138083814449) 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 23 ways as a sum of consecutive naturals, for example, 2144882 + ... + 3857030.

It is an arithmetic number, because the mean of its divisors is an integer number (148243083450).

Almost surely, 25138083814444 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 5138083814444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336751004200).

5138083814444 is an abundant number, since it is smaller than the sum of its proper divisors (5535418193956).

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

5138083814444 is a wasteful number, since it uses less digits than its factorization.

5138083814444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712479 (or 1712470 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 53.

The spelling of 5138083814444 in words is "five trillion, one hundred thirty-eight billion, eighty-three million, eight hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 251 427 502 854 1004 1708 1757 2989 3514 5978 7028 11956 12299 15311 24598 30622 49196 61244 107177 214354 428708 750239 1500478 1712149 3000956 3424298 6848596 11985043 23970086 47940172 83895301 104441089 167790602 208882178 335581204 417764356 429749399 731087623 859498798 1462175246 1718997596 2924350492 3008245793 5117613361 6016491586 10235226722 12032983172 20470453444 21057720551 26214713339 42115441102 52429426678 84230882204 104858853356 183502993373 367005986746 734011973492 1284520953611 2569041907222 5138083814444