Search a number
-
+
138068838081 = 3225759692537
BaseRepresentation
bin1000000010010110001…
…0110100011011000001
3111012101020212200121200
42000211202310123001
54230231110304311
6143232234211413
712655321521426
oct2004542643301
9435336780550
10138068838081
1153611294659
1222912b83b69
131003476a635
14697ad71d4d
1538d140a556
hex20258b46c1

138068838081 has 12 divisors (see below), whose sum is σ = 200208772452. Its totient is φ = 91687735296.

The previous prime is 138068838071. The next prime is 138068838121. The reversal of 138068838081 is 180838860831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 132921493056 + 5147345025 = 364584^2 + 71745^2 .

It is not a de Polignac number, because 138068838081 - 219 = 138068313793 is a prime.

It is a super-2 number, since 2×1380688380812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138068838041) 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, 29843956 + ... + 29848581.

It is an arithmetic number, because the mean of its divisors is an integer number (16684064371).

Almost surely, 2138068838081 is an apocalyptic number.

It is an amenable number.

138068838081 is a deficient number, since it is larger than the sum of its proper divisors (62139934371).

138068838081 is a wasteful number, since it uses less digits than its factorization.

138068838081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59692800 (or 59692797 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 138068838081 in words is "one hundred thirty-eight billion, sixty-eight million, eight hundred thirty-eight thousand, eighty-one".

Divisors: 1 3 9 257 771 2313 59692537 179077611 537232833 15340982009 46022946027 138068838081