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81014806161 = 3217255812
BaseRepresentation
bin100101101110011011…
…0111101011010010001
321202010001122120100100
41023130312331122101
52311404242244121
6101115004243013
75565423330102
oct1133466753221
9252101576310
1081014806161
11313a3822a63
121384b840469
137841457333
143cc785c3a9
152192627026
hex12dcdbd691

81014806161 has 27 divisors (see below), whose sum is σ = 124332193713. Its totient is φ = 50823711360.

The previous prime is 81014806151. The next prime is 81014806183. The reversal of 81014806161 is 16160841018.

The square root of 81014806161 is 284631.

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

81014806161 is a `hidden beast` number, since 8 + 10 + 1 + 480 + 6 + 161 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 900900225 + 80113905936 = 30015^2 + 283044^2 .

It is not a de Polignac number, because 81014806161 - 29 = 81014805649 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (81014806151) 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, 14513391 + ... + 14518971.

Almost surely, 281014806161 is an apocalyptic number.

81014806161 is the 284631-st square number.

81014806161 is the 142316-th centered octagonal number.

It is an amenable number.

81014806161 is a deficient number, since it is larger than the sum of its proper divisors (43317387552).

81014806161 is an frugal number, since it uses more digits than its factorization.

81014806161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11202 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Multiplying 81014806161 by its sum of digits (36), we get a square (2916533021796 = 17077862).

Multiplying 81014806161 by its product of nonzero digits (9216), we get a square (746632453579776 = 273245762).

The spelling of 81014806161 in words is "eighty-one billion, fourteen million, eight hundred six thousand, one hundred sixty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 5581 16743 50229 94877 284631 853893 1612909 4838727 14516181 31147561 93442683 280328049 529508537 1588525611 4765576833 9001645129 27004935387 81014806161