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13169628081 = 344123112
BaseRepresentation
bin11000100001111100…
…01001001110110001
31020222210222102110000
430100332021032301
5203432411044311
610014450500213
7644232664101
oct142076111661
936883872400
1013169628081
115648a03555
122676594669
13131b58394c
148cd0c3201
155212ac056
hex310f893b1

13169628081 has 45 divisors (see below), whose sum is σ = 20229730939. Its totient is φ = 8538069600.

The previous prime is 13169628079. The next prime is 13169628083. The reversal of 13169628081 is 18082696131.

The square root of 13169628081 is 114759.

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

13169628081 is a `hidden beast` number, since 1 + 3 + 16 + 9 + 628 + 0 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13169628079) and next prime (13169628083).

It can be written as a sum of positive squares in only one way, i.e., 634586481 + 12535041600 = 25191^2 + 111960^2 .

It is not a de Polignac number, because 13169628081 - 21 = 13169628079 is a prime.

It is a super-2 number, since 2×131696280812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13169628083) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42345916 + ... + 42346226.

Almost surely, 213169628081 is an apocalyptic number.

13169628081 is the 114759-th square number.

13169628081 is the 57380-th centered octagonal number.

It is an amenable number.

13169628081 is a deficient number, since it is larger than the sum of its proper divisors (7060102858).

13169628081 is an frugal number, since it uses more digits than its factorization.

13169628081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13169628081 in words is "thirteen billion, one hundred sixty-nine million, six hundred twenty-eight thousand, eighty-one".

Divisors: 1 3 9 27 41 81 123 311 369 933 1107 1681 2799 3321 5043 8397 12751 15129 25191 38253 45387 96721 114759 136161 290163 344277 522791 870489 1032831 1568373 2611467 3965561 4705119 7834401 11896683 14115357 35690049 42346071 107070147 162588001 321210441 487764003 1463292009 4389876027 13169628081