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12697721271 = 3679972273
BaseRepresentation
bin10111101001101011…
…11101100110110111
31012202221000002000000
423310311331212313
5202001104040041
65455552122343
7626442564354
oct136465754667
935687002000
1012697721271
115426594a24
1225645363b3
131274886951
1488656162b
154e4b42bb6
hex2f4d7d9b7

12697721271 has 56 divisors (see below), whose sum is σ = 19486178880. Its totient is φ = 8268189696.

The previous prime is 12697721269. The next prime is 12697721287. The reversal of 12697721271 is 17212779621.

It is not a de Polignac number, because 12697721271 - 21 = 12697721269 is a prime.

It is a super-2 number, since 2×126977212712 (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 (12697721171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5585191 + ... + 5587463.

It is an arithmetic number, because the mean of its divisors is an integer number (347967480).

Almost surely, 212697721271 is an apocalyptic number.

12697721271 is a deficient number, since it is larger than the sum of its proper divisors (6788457609).

12697721271 is an frugal number, since it uses more digits than its factorization.

12697721271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2452 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The spelling of 12697721271 in words is "twelve billion, six hundred ninety-seven million, seven hundred twenty-one thousand, two hundred seventy-one".

Divisors: 1 3 9 27 79 81 97 237 243 291 711 729 873 2133 2273 2619 6399 6819 7663 7857 19197 20457 22989 23571 57591 61371 68967 70713 179567 184113 206901 220481 538701 552339 620703 661443 1616103 1657017 1862109 1984329 4848309 5586327 5952987 14544927 17417999 17858961 43634781 52253997 53576883 130904343 156761991 160730649 470285973 1410857919 4232573757 12697721271