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4978318905 = 325727928579
BaseRepresentation
bin1001010001011101…
…10001111000111001
3110211221120210200200
410220232301320321
540143422201110
62141554352413
7234240004200
oct45056617071
913757523620
104978318905
11212514974a
12b6b28b709
1361450a241
1435325a237
151e20c26c0
hex128bb1e39

4978318905 has 72 divisors (see below), whose sum is σ = 10165334400. Its totient is φ = 2246916672.

The previous prime is 4978318867. The next prime is 4978318907. The reversal of 4978318905 is 5098138794.

4978318905 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4978318905 - 214 = 4978302521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4978318907) 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 71 ways as a sum of consecutive naturals, for example, 159906 + ... + 188484.

It is an arithmetic number, because the mean of its divisors is an integer number (141185200).

Almost surely, 24978318905 is an apocalyptic number.

4978318905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4978318905 is an abundant number, since it is smaller than the sum of its proper divisors (5187015495).

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

4978318905 is a wasteful number, since it uses less digits than its factorization.

4978318905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28683 (or 28673 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 4978318905 is about 70557.2030695662. The cubic root of 4978318905 is about 1707.5007555016.

The spelling of 4978318905 in words is "four billion, nine hundred seventy-eight million, three hundred eighteen thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 79 105 147 237 245 315 395 441 553 711 735 1185 1659 2205 2765 3555 3871 4977 8295 11613 19355 24885 28579 34839 58065 85737 142895 174195 200053 257211 428685 600159 1000265 1286055 1400371 1800477 2257741 3000795 4201113 6773223 7001855 9002385 11288705 12603339 15804187 20319669 21005565 33866115 47412561 63016695 79020935 101598345 110629309 142237683 237062805 331887927 553146545 711188415 995663781 1659439635 4978318905