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138773289681 = 32131186096493
BaseRepresentation
bin1000000100111110001…
…0000101101011010001
3111021012100102112112200
42001033202011223101
54233201430232211
6143430201113413
713011634333245
oct2011742055321
9437170375480
10138773289681
11539429a4564
1222a8aa88869
13101176a7cc0
146a06748425
1539231abb56
hex204f885ad1

138773289681 has 12 divisors (see below), whose sum is σ = 215869561908. Its totient is φ = 85398947424.

The previous prime is 138773289653. The next prime is 138773289709. The reversal of 138773289681 is 186982377831.

138773289681 is a `hidden beast` number, since 1 + 387 + 73 + 28 + 96 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (138773289653) and next prime (138773289709).

It can be written as a sum of positive squares in 2 ways, for example, as 15631250625 + 123142039056 = 125025^2 + 350916^2 .

It is not a de Polignac number, because 138773289681 - 27 = 138773289553 is a prime.

It is a super-4 number, since 4×1387732896814 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (138773289181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593048130 + ... + 593048363.

It is an arithmetic number, because the mean of its divisors is an integer number (17989130159).

Almost surely, 2138773289681 is an apocalyptic number.

It is an amenable number.

138773289681 is a deficient number, since it is larger than the sum of its proper divisors (77096272227).

138773289681 is a wasteful number, since it uses less digits than its factorization.

138773289681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186096512 (or 1186096509 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 138773289681 in words is "one hundred thirty-eight billion, seven hundred seventy-three million, two hundred eighty-nine thousand, six hundred eighty-one".

Divisors: 1 3 9 13 39 117 1186096493 3558289479 10674868437 15419254409 46257763227 138773289681