Search a number
-
+
12676312865161 = 1123125321972
BaseRepresentation
bin1011100001110110111100…
…1000000001100110001001
31122212211210001001101011001
42320131233020001212021
53130142042043141121
642543230121535001
72445555564346621
oct270355710014611
948784701041131
1012676312865161
114047aa3161500
121508907644461
1370c4a9613cba
1431b773049881
1516eb176d7991
hexb876f201989

12676312865161 has 81 divisors (see below), whose sum is σ = 14749075127829. Its totient is φ = 10886220945600.

The previous prime is 12676312865131. The next prime is 12676312865171. The reversal of 12676312865161 is 16156821367621.

The square root of 12676312865161 is 3560381.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7425248954761 + 5251063910400 = 2724931^2 + 2291520^2 .

It is not a de Polignac number, because 12676312865161 - 235 = 12641953126793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12676312865131) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64346765715 + ... + 64346765911.

Almost surely, 212676312865161 is an apocalyptic number.

12676312865161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12676312865161 is the 3560381-st square number.

12676312865161 is the 1780191-st centered octagonal number.

It is an amenable number.

12676312865161 is a deficient number, since it is larger than the sum of its proper divisors (2072762262668).

12676312865161 is an frugal number, since it uses more digits than its factorization.

12676312865161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 292 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The spelling of 12676312865161 in words is "twelve trillion, six hundred seventy-six billion, three hundred twelve million, eight hundred sixty-five thousand, one hundred sixty-one".

Divisors: 1 11 31 53 121 197 341 583 961 1643 2167 2809 3751 6107 6413 10441 10571 18073 23837 30899 38809 50933 67177 87079 114851 116281 189317 198803 323671 339889 426899 553373 560263 738947 957869 1203079 1263361 2056877 2082487 2699449 3560381 4695889 6087103 6162893 10033801 10536559 13233869 17154563 22625647 22907357 29693939 37295449 39164191 63763187 66958133 109014481 110371811 145572559 188700193 248882117 326633329 410249939 531791453 701395057 1199159291 1214089921 1976658797 2075702123 3379448911 4512749329 5849705983 7715345627 13190752201 21743246767 37173938021 64346765813 104762916241 239175714437 408913318231 1152392078651 12676312865161