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12287968769560 = 23511231214226163
BaseRepresentation
bin1011001011010000010000…
…0000110111011000011000
31121111201101200010022002011
42302310010000313120120
53102311230001111220
642045003120115304
72405530215116311
oct262640400673030
947451350108064
1012287968769560
113a08331029650
1214655a7a65b34
136b199aa70913
14306a52cd3608
1516498924065a
hexb2d04037618

12287968769560 has 64 divisors (see below), whose sum is σ = 31472742170880. Its totient is φ = 4274076090240.

The previous prime is 12287968769539. The next prime is 12287968769561. The reversal of 12287968769560 is 6596786978221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12287968769561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607102962 + ... + 607123201.

It is an arithmetic number, because the mean of its divisors is an integer number (491761596420).

Almost surely, 212287968769560 is an apocalyptic number.

12287968769560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12287968769560 is an abundant number, since it is smaller than the sum of its proper divisors (19184773401320).

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

12287968769560 is a wasteful number, since it uses less digits than its factorization.

12287968769560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214226208 (or 1214226204 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 76.

The spelling of 12287968769560 in words is "twelve trillion, two hundred eighty-seven billion, nine hundred sixty-eight million, seven hundred sixty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 1214226163 2428452326 4856904652 6071130815 9713809304 12142261630 13356487793 24284523260 26712975586 27927201749 48569046520 53425951172 55854403498 66782438965 106851902344 111708806996 133564877930 139636008745 223417613992 267129755860 279272017490 307199219239 534259511720 558544034980 614398438478 1117088069960 1228796876956 1535996096195 2457593753912 3071992192390 6143984384780 12287968769560