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248482138639 = 7743286116699
BaseRepresentation
bin1110011101101010110…
…0001000101000001111
3212202101010222111202211
43213122230020220033
513032342411414024
6310052350331251
723644422220660
oct3473254105017
9782333874684
10248482138639
1196420764579
12401a81b9b27
131a57c784a87
14c052dbd367
1566e4942594
hex39dab08a0f

248482138639 has 16 divisors (see below), whose sum is σ = 284478220800. Its totient is φ = 212610958560.

The previous prime is 248482138609. The next prime is 248482138673. The reversal of 248482138639 is 936831284842.

It is a happy number.

248482138639 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248482138639 - 221 = 248480041487 is a prime.

It is a super-3 number, since 3×2484821386393 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248482138609) 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 15 ways as a sum of consecutive naturals, for example, 14871712 + ... + 14888410.

It is an arithmetic number, because the mean of its divisors is an integer number (17779888800).

Almost surely, 2248482138639 is an apocalyptic number.

248482138639 is a deficient number, since it is larger than the sum of its proper divisors (35996082161).

248482138639 is a wasteful number, since it uses less digits than its factorization.

248482138639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20310.

The product of its digits is 15925248, while the sum is 58.

The spelling of 248482138639 in words is "two hundred forty-eight billion, four hundred eighty-two million, one hundred thirty-eight thousand, six hundred thirty-nine".

Divisors: 1 7 743 2861 5201 16699 20027 116893 2125723 12407357 14880061 47775839 86851499 334430873 35497448377 248482138639