Search a number
-
+
4788938466 = 23213231431181
BaseRepresentation
bin1000111010111000…
…10110011011100010
3110100202020021120100
410131130112123202
534301432012331
62111111323230
7226450206504
oct43534263342
913322207510
104788938466
11203825a394
12b17980516
135b4200800
1433603dd74
151d0664ae6
hex11d7166e2

4788938466 has 144 divisors (see below), whose sum is σ = 11877795072. Its totient is φ = 1391644800.

The previous prime is 4788938459. The next prime is 4788938477. The reversal of 4788938466 is 6648398874.

4788938466 is a `hidden beast` number, since 4 + 7 + 88 + 93 + 8 + 466 = 666.

It is a super-2 number, since 2×47889384662 = 45867863262268866312, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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, 4054396 + ... + 4055576.

It is an arithmetic number, because the mean of its divisors is an integer number (82484688).

Almost surely, 24788938466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4788938466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938897536).

4788938466 is an abundant number, since it is smaller than the sum of its proper divisors (7088856606).

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

4788938466 is a wasteful number, since it uses less digits than its factorization.

4788938466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1273 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The square root of 4788938466 is about 69202.1565126406. The cubic root of 4788938466 is about 1685.5685479669.

The spelling of 4788938466 in words is "four billion, seven hundred eighty-eight million, nine hundred thirty-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 43 62 78 86 93 117 129 169 186 234 258 279 338 387 403 507 558 559 774 806 1014 1118 1181 1209 1333 1521 1677 2362 2418 2666 3042 3354 3543 3627 3999 5031 5239 7086 7254 7267 7998 10062 10478 10629 11997 14534 15353 15717 17329 21258 21801 23994 30706 31434 34658 36611 43602 46059 47151 50783 51987 65403 73222 92118 94302 101566 103974 109833 130806 138177 152349 155961 199589 219666 225277 276354 304698 311922 329499 399178 450554 457047 475943 598767 658998 660179 675831 914094 951886 1197534 1320358 1351662 1427829 1574273 1796301 1980537 2027493 2855658 3148546 3592602 3961074 4054986 4283487 4722819 5941611 6187259 8566974 8582327 9445638 11883222 12374518 14168457 17164654 18561777 20465549 25746981 28336914 37123554 40931098 51493962 55685331 61396647 77240943 111370662 122793294 154481886 184189941 266052137 368379882 532104274 798156411 1596312822 2394469233 4788938466