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12405989727 = 343143891291
BaseRepresentation
bin10111000110111010…
…00110000101011111
31012000121001120120000
423203131012011133
5200401413132402
65411011225343
7616301113155
oct134335060537
935017046500
1012405989727
11529694877a
1224a28a8253
1312292c2531
148599013d5
154c9218c1c
hex2e374615f

12405989727 has 80 divisors (see below), whose sum is σ = 19810391040. Its totient is φ = 7723900800.

The previous prime is 12405989723. The next prime is 12405989731. The reversal of 12405989727 is 72798950421.

12405989727 is a `hidden beast` number, since 1 + 2 + 40 + 598 + 9 + 7 + 2 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (12405989723) and next prime (12405989731).

It is not a de Polignac number, because 12405989727 - 22 = 12405989723 is a prime.

It is a super-2 number, since 2×124059897272 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12405989723) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9608952 + ... + 9610242.

It is an arithmetic number, because the mean of its divisors is an integer number (247629888).

Almost surely, 212405989727 is an apocalyptic number.

12405989727 is a deficient number, since it is larger than the sum of its proper divisors (7404401313).

12405989727 is a wasteful number, since it uses less digits than its factorization.

12405989727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 12405989727 in words is "twelve billion, four hundred five million, nine hundred eighty-nine thousand, seven hundred twenty-seven".

Divisors: 1 3 9 27 31 43 81 89 93 129 267 279 387 801 837 1161 1291 1333 2403 2511 2759 3483 3827 3873 3999 7209 8277 11481 11619 11997 24831 34443 34857 35991 40021 55513 74493 103329 104571 107973 114899 118637 120063 166539 223479 309987 344697 355911 360189 499617 1034091 1067733 1080567 1498851 1720903 3102273 3203199 3241701 3561869 4496553 4940657 5162709 9306819 9609597 10685607 14821971 15488127 32056821 44465913 46464381 96170463 133397739 139393143 153160367 288511389 400193217 459481101 1378443303 4135329909 12405989727