Search a number
-
+
12811029848961 = 3163235724374561
BaseRepresentation
bin1011101001101100110011…
…1000100010001110000001
31200100201111200211020002120
42322123030320202032001
53134343442120131321
643125150022234453
72461365155666421
oct272331470421601
950321450736076
1012811029848961
11409a144404353
12152aa43b85a29
1371c0c8814bb6
143240b2b84481
1517339e6eaec6
hexba6cce22381

12811029848961 has 32 divisors (see below), whose sum is σ = 17204284764288. Its totient is φ = 8479347287040.

The previous prime is 12811029848951. The next prime is 12811029848999. The reversal of 12811029848961 is 16984892011821.

It is not a de Polignac number, because 12811029848961 - 226 = 12810962740097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12811029848895 and 12811029848904.

It is not an unprimeable number, because it can be changed into a prime (12811029848951) 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, 2808818121 + ... + 2808822681.

It is an arithmetic number, because the mean of its divisors is an integer number (537633898884).

Almost surely, 212811029848961 is an apocalyptic number.

It is an amenable number.

12811029848961 is a deficient number, since it is larger than the sum of its proper divisors (4393254915327).

12811029848961 is a wasteful number, since it uses less digits than its factorization.

12811029848961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9521.

The product of its (nonzero) digits is 3981312, while the sum is 60.

The spelling of 12811029848961 in words is "twelve trillion, eight hundred eleven billion, twenty-nine million, eight hundred forty-eight thousand, nine hundred sixty-one".

Divisors: 1 3 163 489 2357 2437 4561 7071 7311 13683 384191 397231 743443 1152573 1191693 2230329 5744009 10750277 11115157 17232027 32250831 33345471 936273467 1752295151 1811770591 2808820401 5256885453 5435311773 26198425049 78595275147 4270343282987 12811029848961