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12740920581680 = 2451911979421339
BaseRepresentation
bin1011100101100111101000…
…0010111001111000110000
31200010000112122212102200122
42321121322002321320300
53132221401132103210
643033033105305412
72453333614026314
oct271317202717060
950100478772618
1012740920581680
114072437571145
121519338635268
13715604860865
14320941847b44
15171649704b55
hexb967a0b9e30

12740920581680 has 80 divisors (see below), whose sum is σ = 29792850278400. Its totient is φ = 5067111909120.

The previous prime is 12740920581677. The next prime is 12740920581703. The reversal of 12740920581680 is 8618502904721.

12740920581680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30028451 + ... + 30449789.

It is an arithmetic number, because the mean of its divisors is an integer number (372410628480).

Almost surely, 212740920581680 is an apocalyptic number.

12740920581680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12740920581680 is an abundant number, since it is smaller than the sum of its proper divisors (17051929696720).

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

12740920581680 is a wasteful number, since it uses less digits than its factorization.

12740920581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423522 (or 423516 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 12740920581680 in words is "twelve trillion, seven hundred forty billion, nine hundred twenty million, five hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 1979 3056 3820 3958 7640 7916 9895 15280 15832 19790 31664 39580 79160 158320 377989 421339 755978 842678 1511956 1685356 1889945 2106695 3023912 3370712 3779890 4213390 6047824 6741424 7559780 8426780 15119560 16853560 30239120 33707120 80475749 160951498 321902996 402378745 643805992 804757490 833829881 1287611984 1609514980 1667659762 3219029960 3335319524 4169149405 6438059920 6670639048 8338298810 13341278096 16676597620 33353195240 66706390480 159261507271 318523014542 637046029084 796307536355 1274092058168 1592615072710 2548184116336 3185230145420 6370460290840 12740920581680