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138069466929 = 3229242712
BaseRepresentation
bin1000000010010110010…
…1001101111100110001
3111012101022001122020100
42000211211031330301
54230231240420204
6143232255503013
712655330051002
oct2004545157461
9435338048210
10138069466929
1153611684069
1222913227a69
131003492a934
14697b0971a9
1538d14d1a39
hex202594df31

138069466929 has 27 divisors (see below), whose sum is σ = 206596208299. Its totient is φ = 88851492240.

The previous prime is 138069466891. The next prime is 138069466937. The reversal of 138069466929 is 929664960831.

The square root of 138069466929 is 371577.

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

138069466929 is a `hidden beast` number, since 1 + 3 + 80 + 6 + 9 + 466 + 92 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72400279329 + 65669187600 = 269073^2 + 256260^2 .

It is not a de Polignac number, because 138069466929 - 215 = 138069434161 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138069466979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32325064 + ... + 32329334.

Almost surely, 2138069466929 is an apocalyptic number.

138069466929 is the 371577-th square number.

138069466929 is the 185789-th centered octagonal number.

It is an amenable number.

138069466929 is a deficient number, since it is larger than the sum of its proper divisors (68526741370).

138069466929 is an frugal number, since it uses more digits than its factorization.

138069466929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 138069466929 in words is "one hundred thirty-eight billion, sixty-nine million, four hundred sixty-six thousand, nine hundred twenty-nine".

Divisors: 1 3 9 29 87 261 841 2523 4271 7569 12813 38439 123859 371577 1114731 3591911 10775733 18241441 32327199 54724323 164172969 529001789 1587005367 4761016101 15341051881 46023155643 138069466929