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12646341645 = 357218319397
BaseRepresentation
bin10111100011100011…
…11101110000001101
31012122100022201101220
423301301331300031
5201344430413040
65450514553553
7625250062500
oct136161756015
935570281356
1012646341645
1153aa591723
12254b2988b9
1312670375c2
1487d7c9137
154e03942d0
hex2f1c7dc0d

12646341645 has 48 divisors (see below), whose sum is σ = 23553042048. Its totient is φ = 5777412480.

The previous prime is 12646341641. The next prime is 12646341649. The reversal of 12646341645 is 54614364621.

It is an interprime number because it is at equal distance from previous prime (12646341641) and next prime (12646341649).

It is not a de Polignac number, because 12646341645 - 22 = 12646341641 is a prime.

It is a super-3 number, since 3×126463416453 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12646341597 and 12646341606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12646341641) 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 47 ways as a sum of consecutive naturals, for example, 1341087 + ... + 1350483.

It is an arithmetic number, because the mean of its divisors is an integer number (490688376).

Almost surely, 212646341645 is an apocalyptic number.

12646341645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12646341645 is a deficient number, since it is larger than the sum of its proper divisors (10906700403).

12646341645 is a wasteful number, since it uses less digits than its factorization.

12646341645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11250 (or 11243 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 12646341645 in words is "twelve billion, six hundred forty-six million, three hundred forty-one thousand, six hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 1831 5493 9155 9397 12817 27465 28191 38451 46985 64085 65779 89719 140955 192255 197337 269157 328895 448595 460453 986685 1345785 1381359 2302265 6906795 17205907 51617721 86029535 120441349 258088605 361324047 602206745 843089443 1806620235 2529268329 4215447215 12646341645