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12877937361 = 3104672
BaseRepresentation
bin10111111111001010…
…11011101011010001
31020020111010000000000
423333211123223101
5202333222443421
65525510520213
7634061442612
oct137745335321
936214100000
1012877937361
115509294a43
1225b4966069
1312a3004ca3
148a2473c09
15505890226
hex2ff95bad1

12877937361 has 33 divisors (see below), whose sum is σ = 19358249161. Its totient is φ = 8566907652.

The previous prime is 12877937351. The next prime is 12877937389. The reversal of 12877937361 is 16373977821.

The square root of 12877937361 is 113481.

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

12877937361 is a `hidden beast` number, since 128 + 77 + 93 + 7 + 361 = 666.

It is not a de Polignac number, because 12877937361 - 215 = 12877904593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12877937298 and 12877937307.

It is not an unprimeable number, because it can be changed into a prime (12877937341) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 27575650 + ... + 27576116.

Almost surely, 212877937361 is an apocalyptic number.

12877937361 is the 113481-st square number.

12877937361 is the 56741-st centered octagonal number.

It is an amenable number.

12877937361 is a deficient number, since it is larger than the sum of its proper divisors (6480311800).

12877937361 is an frugal number, since it uses more digits than its factorization.

12877937361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 470 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 12877937361 in words is "twelve billion, eight hundred seventy-seven million, nine hundred thirty-seven thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 243 467 729 1401 2187 4203 6561 12609 19683 37827 59049 113481 218089 340443 654267 1021329 1962801 3063987 5888403 9191961 17665209 27575883 52995627 158986881 476960643 1430881929 4292645787 12877937361