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11012064630056 = 2374716331382007
BaseRepresentation
bin1010000000111111001000…
…1100110101010100101000
31102222202001201101101102122
42200033302030311110220
52420410202021130211
635230512254250412
72214411140640020
oct240176214652450
942882051341378
1011012064630056
113566210444056
12129a2661b6a08
1361b582a970c9
142a0db59b8a80
151416b09446db
hexa03f2335528

11012064630056 has 128 divisors (see below), whose sum is σ = 24324963655680. Its totient is φ = 4575982035456.

The previous prime is 11012064630043. The next prime is 11012064630071. The reversal of 11012064630056 is 65003646021011.

It is a junction number, because it is equal to n+sod(n) for n = 11012064629998 and 11012064630025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134241005 + ... + 134323011.

It is an arithmetic number, because the mean of its divisors is an integer number (190038778560).

Almost surely, 211012064630056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012064630056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162481827840).

11012064630056 is an abundant number, since it is smaller than the sum of its proper divisors (13312899025624).

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

11012064630056 is a wasteful number, since it uses less digits than its factorization.

11012064630056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82543 (or 82539 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 11012064630056 in words is "eleven trillion, twelve billion, sixty-four million, six hundred thirty thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 47 56 94 163 188 313 326 329 376 626 652 658 1141 1252 1304 1316 2191 2282 2504 2632 4382 4564 7661 8764 9128 14711 15322 17528 29422 30644 51019 53627 58844 61288 82007 102038 102977 107254 117688 164014 204076 205954 214508 328028 357133 408152 411908 429016 574049 656056 714266 823816 1148098 1428532 2296196 2397893 2857064 3854329 4592392 4795786 7708658 9591572 13367141 15417316 16785251 19183144 25668191 26734282 26980303 30834632 33570502 51336382 53468564 53960606 67141004 93569987 102672764 106937128 107921212 134282008 179677337 187139974 205345528 215842424 359354674 374279948 628255627 718709348 748559896 1206404977 1256511254 1437418696 2412809954 2513022508 4183915133 4397789389 4825619908 5026045016 8367830266 8444834839 8795578778 9651239816 16735660532 16889669678 17591157556 29287405931 33471321064 33779339356 35182315112 58574811862 67558678712 117149623724 196644011251 234299247448 393288022502 786576045004 1376508078757 1573152090008 2753016157514 5506032315028 11012064630056