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4905308205 = 325743536833
BaseRepresentation
bin1001001000110000…
…10001000000101101
3110122212012110211200
410210120101000231
540021224330310
62130425440113
7232362301050
oct44430210055
913585173750
104905308205
112097a11726
12b4a940039
13602356245
14347692a97
151da99e9c0
hex12461102d

4905308205 has 96 divisors (see below), whose sum is σ = 10132252416. Its totient is φ = 2148636672.

The previous prime is 4905308179. The next prime is 4905308227. The reversal of 4905308205 is 5028035094.

4905308205 is a `hidden beast` number, since 49 + 0 + 530 + 82 + 0 + 5 = 666.

It is not a de Polignac number, because 4905308205 - 212 = 4905304109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4905308205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 714469 + ... + 721301.

It is an arithmetic number, because the mean of its divisors is an integer number (105544296).

Almost surely, 24905308205 is an apocalyptic number.

4905308205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4905308205 is an abundant number, since it is smaller than the sum of its proper divisors (5226944211).

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

4905308205 is a wasteful number, since it uses less digits than its factorization.

4905308205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4905308205 is about 70037.9054869576. The cubic root of 4905308205 is about 1699.1123630233.

The spelling of 4905308205 in words is "four billion, nine hundred five million, three hundred eight thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 35 43 45 53 63 105 129 159 215 265 301 315 371 387 477 645 795 903 1113 1505 1855 1935 2279 2385 2709 3339 4515 5565 6833 6837 11395 13545 15953 16695 20499 20511 34165 34185 47831 47859 61497 79765 102495 102555 143493 143577 239155 239295 293819 307485 362149 430479 717465 717885 881457 1086447 1469095 1810745 2056733 2152395 2535043 2644371 3259341 4407285 5432235 6170199 7605129 10283665 12675215 13221855 15572407 16296705 18510597 22815387 30850995 38025645 46717221 77862035 92552985 109006849 114076935 140151663 233586105 327020547 545034245 700758315 981061641 1635102735 4905308205