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4122505816 = 2311213327599
BaseRepresentation
bin1111010110111000…
…0111001001011000
3101122022012222211121
43311232013021120
531420330141231
61521023335024
7204105502252
oct36556071130
911568188747
104122505816
111826057700
12970751474
13509115070
142b1722cd2
15191dc3311
hexf5b87258

4122505816 has 48 divisors (see below), whose sum is σ = 9149868000. Its totient is φ = 1729717440.

The previous prime is 4122505811. The next prime is 4122505853. The reversal of 4122505816 is 6185052214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122505811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151216 + ... + 176383.

It is an arithmetic number, because the mean of its divisors is an integer number (190622250).

Almost surely, 24122505816 is an apocalyptic number.

It is an amenable number.

4122505816 is an abundant number, since it is smaller than the sum of its proper divisors (5027362184).

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

4122505816 is a wasteful number, since it uses less digits than its factorization.

4122505816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327640 (or 327625 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 4122505816 is about 64206.7427611773. The cubic root of 4122505816 is about 1603.4438601985.

The spelling of 4122505816 in words is "four billion, one hundred twenty-two million, five hundred five thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 3146 6292 12584 327599 655198 1310396 2620792 3603589 4258787 7207178 8517574 14414356 17035148 28828712 34070296 39639479 46846657 79278958 93693314 158557916 187386628 317115832 374773256 515313227 1030626454 2061252908 4122505816