Search a number
-
+
212854307463 = 33773127331367
BaseRepresentation
bin1100011000111100011…
…0101111101010000111
3202100102011221011101000
43012033012233222013
511441411200314323
6241441154304343
721243504522030
oct3061706575207
9670364834330
10212854307463
11822a87866a6
12353045880b3
13170c246c775
14a433363a87
15580bbe7e43
hex318f1afa87

212854307463 has 128 divisors (see below), whose sum is σ = 370320343040. Its totient is φ = 118337345280.

The previous prime is 212854307459. The next prime is 212854307513. The reversal of 212854307463 is 364703458212.

212854307463 is a `hidden beast` number, since 2 + 1 + 285 + 4 + 307 + 4 + 63 = 666.

It is not a de Polignac number, because 212854307463 - 22 = 212854307459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212854307443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 579984306 + ... + 579984672.

It is an arithmetic number, because the mean of its divisors is an integer number (2893127680).

Almost surely, 2212854307463 is an apocalyptic number.

212854307463 is a deficient number, since it is larger than the sum of its proper divisors (157466035577).

212854307463 is a wasteful number, since it uses less digits than its factorization.

212854307463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 212854307463 in words is "two hundred twelve billion, eight hundred fifty-four million, three hundred seven thousand, four hundred sixty-three".

Divisors: 1 3 7 9 21 27 63 73 127 189 219 331 367 381 511 657 889 993 1101 1143 1533 1971 2317 2569 2667 2979 3303 3429 4599 6951 7707 8001 8937 9271 9909 13797 20853 23121 24003 24163 26791 27813 42037 46609 62559 64897 69363 72489 80373 83439 121477 126111 139827 169141 187537 194691 217467 241119 250317 294259 326263 364431 378333 419481 507423 562611 584073 652401 723357 850339 882777 978789 1093293 1134999 1258443 1522269 1687833 1752219 2551017 2648331 2936367 3068701 3279879 3402457 4566807 5063499 7653051 7944993 8809101 8867821 9206103 10207371 15427579 21480907 22959153 23817199 26603463 27618309 30622113 46282737 62074747 64442721 71451597 79810389 82854927 91866339 107993053 138848211 186224241 193328163 214354791 239431167 323979159 416544633 558672723 579984489 643064373 971937477 1126213267 1676018169 2915812431 3378639801 7883492869 10135919403 23650478607 30407758209 70951435821 212854307463