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12765056277753 = 3313242315009361
BaseRepresentation
bin1011100111000001100010…
…1001010001110011111001
31200012022211201102211102000
42321300120221101303321
53133120313401342003
643052104053131213
72455146665043213
oct271603051216371
950168751384360
1012765056277753
1140816a25368aa
121521b53629b09
1371797ccbb220
14321b910c75b3
151720ad59c1a3
hexb9c18a51cf9

12765056277753 has 32 divisors (see below), whose sum is σ = 20374308353280. Its totient is φ = 7852176702720.

The previous prime is 12765056277751. The next prime is 12765056277781. The reversal of 12765056277753 is 35777265056721.

12765056277753 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 505 + 6 + 2 + 7 + 77 + 53 = 666.

12765056277753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12765056277753 - 21 = 12765056277751 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12765056277751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6654208 + ... + 8355153.

It is an arithmetic number, because the mean of its divisors is an integer number (636697136040).

Almost surely, 212765056277753 is an apocalyptic number.

12765056277753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12765056277753 is a deficient number, since it is larger than the sum of its proper divisors (7609252075527).

12765056277753 is a wasteful number, since it uses less digits than its factorization.

12765056277753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15011806 (or 15011800 counting only the distinct ones).

The product of its (nonzero) digits is 129654000, while the sum is 63.

The spelling of 12765056277753 in words is "twelve trillion, seven hundred sixty-five billion, fifty-six million, two hundred seventy-seven thousand, seven hundred fifty-three".

Divisors: 1 3 9 13 27 39 117 351 2423 7269 21807 31499 65421 94497 283491 850473 15009361 45028083 135084249 195121693 405252747 585365079 1756095237 5268285711 36367681703 109103045109 327309135327 472779862139 981927405981 1418339586417 4255018759251 12765056277753