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12173040648769 = 71113232557206779
BaseRepresentation
bin1011000100100100000111…
…0000111000001001000001
31121002201202010120211212211
42301021001300320021001
53043420341401230034
641520115003422121
72364321203162620
oct261110160701101
947081663524784
1012173040648769
113973615106440
121447272824941
136a3bb3591110
1430126d3dd6b7
151619ae68dd64
hexb1241c38241

12173040648769 has 64 divisors (see below), whose sum is σ = 17061593149440. Its totient is φ = 8371829157120.

The previous prime is 12173040648757. The next prime is 12173040648827. The reversal of 12173040648769 is 96784604037121.

It is a happy number.

It is not a de Polignac number, because 12173040648769 - 27 = 12173040648641 is a prime.

It is a super-2 number, since 2×121730406487692 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12173040648709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58766422 + ... + 58973200.

It is an arithmetic number, because the mean of its divisors is an integer number (266587392960).

Almost surely, 212173040648769 is an apocalyptic number.

It is an amenable number.

12173040648769 is a deficient number, since it is larger than the sum of its proper divisors (4888552500671).

12173040648769 is a wasteful number, since it uses less digits than its factorization.

12173040648769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209390.

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 12173040648769 in words is "twelve trillion, one hundred seventy-three billion, forty million, six hundred forty-eight thousand, seven hundred sixty-nine".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1771 2093 2557 3289 17899 23023 28127 33241 58811 196889 206779 232687 365651 411677 646921 764543 1447453 2274569 2559557 2688127 4528447 4755917 5351801 8409973 15921983 18816889 29569397 33291419 52315087 58869811 61826921 206985779 366205609 432788447 528733903 680096131 3701137321 4760672917 5816072933 6873540739 12160879769 40712510531 48114785173 75608948129 85126158383 133769677459 158091436997 529262636903 936387742213 1106640058979 1739005806967 12173040648769