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12159036494361 = 32792147132
BaseRepresentation
bin1011000011101111111100…
…0011010001001000011001
31121001101121011022002112100
42300323333003101020121
53043203201320304421
641505441222034013
72363314154632251
oct260737703211031
947041534262470
1012159036494361
11396868912aa09
121444604878909
136a2791159313
14300701564961
1516143eed9c26
hexb0eff0d1219

12159036494361 has 27 divisors (see below), whose sum is σ = 17789393071359. Its totient is φ = 8002872457632.

The previous prime is 12159036494333. The next prime is 12159036494377. The reversal of 12159036494361 is 16349463095121.

The square root of 12159036494361 is 3486981.

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

12159036494361 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 90 + 3 + 6 + 494 + 3 + 61 = 666.

12159036494361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9009632576025 + 3149403918336 = 3001605^2 + 1774656^2 .

It is not a de Polignac number, because 12159036494361 - 219 = 12159035970073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12159036494298 and 12159036494307.

It is not an unprimeable number, because it can be changed into a prime (12159036494861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 826407141 + ... + 826421853.

Almost surely, 212159036494361 is an apocalyptic number.

12159036494361 is the 3486981-st square number.

12159036494361 is the 1743491-st centered octagonal number.

It is an amenable number.

12159036494361 is a deficient number, since it is larger than the sum of its proper divisors (5630356576998).

12159036494361 is an frugal number, since it uses more digits than its factorization.

12159036494361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29590 (or 14795 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 12159036494361 in words is "twelve trillion, one hundred fifty-nine billion, thirty-six million, four hundred ninety-four thousand, three hundred sixty-one".

Divisors: 1 3 9 79 237 711 6241 14713 18723 44139 56169 132417 1162327 3486981 10460943 91823833 216472369 275471499 649417107 826414497 1948251321 17101317151 51303951453 153911854359 1351004054929 4053012164787 12159036494361