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84743985312 = 2532726005101
BaseRepresentation
bin100111011101100100…
…0101001100010100000
322002201221202111102200
41032323020221202200
52342023430012222
6102533021413200
76060014663400
oct1167310514240
9262657674380
1084743985312
1132a378524a8
121451070a200
137cb6c2640c
14415cc36800
15230ec03eac
hex13bb2298a0

84743985312 has 108 divisors (see below), whose sum is σ = 280336176666. Its totient is φ = 24212563200.

The previous prime is 84743985257. The next prime is 84743985353. The reversal of 84743985312 is 21358934748.

It is a happy number.

84743985312 is a `hidden beast` number, since 8 + 4 + 74 + 39 + 8 + 531 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44135287056 + 40608698256 = 210084^2 + 201516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2988439 + ... + 3016662.

Almost surely, 284743985312 is an apocalyptic number.

It is an amenable number.

84743985312 is an abundant number, since it is smaller than the sum of its proper divisors (195592191354).

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

84743985312 is a wasteful number, since it uses less digits than its factorization.

84743985312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005131 (or 6005113 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 84743985312 in words is "eighty-four billion, seven hundred forty-three million, nine hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 6005101 12010202 18015303 24020404 36030606 42035707 48040808 54045909 72061212 84071414 96081616 108091818 126107121 144122424 168142828 192163232 216183636 252214242 288244848 294249949 336285656 378321363 432367272 504428484 576489696 588499898 672571312 756642726 864734544 882749847 1008856968 1176999796 1345142624 1513285452 1729469088 1765499694 2017713936 2353999592 2648249541 3026570904 3530999388 4035427872 4707999184 5296499082 6053141808 7061998776 9415998368 10592998164 12106283616 14123997552 21185996328 28247995104 42371992656 84743985312