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138772662813 = 32417319326693
BaseRepresentation
bin1000000100111101111…
…1101100101000011101
3111021012022020200122100
42001033133230220131
54233201300202223
6143430135435313
713011626112531
oct2011737545035
9437168220570
10138772662813
1153942606594
1222a8a825b39
1310117518885
146a06623bc1
1539230d6043
hex204f7eca1d

138772662813 has 48 divisors (see below), whose sum is σ = 209237608944. Its totient is φ = 88557649920.

The previous prime is 138772662811. The next prime is 138772662817. The reversal of 138772662813 is 318266277831.

It is a happy number.

138772662813 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 7 + 2 + 6 + 628 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 65107646244 + 73665016569 = 255162^2 + 271413^2 .

It is not a de Polignac number, because 138772662813 - 21 = 138772662811 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138772662813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138772662811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5185495 + ... + 5212187.

It is an arithmetic number, because the mean of its divisors is an integer number (4359116853).

Almost surely, 2138772662813 is an apocalyptic number.

It is an amenable number.

138772662813 is a deficient number, since it is larger than the sum of its proper divisors (70464946131).

138772662813 is a wasteful number, since it uses less digits than its factorization.

138772662813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27006 (or 27003 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 138772662813 in words is "one hundred thirty-eight billion, seven hundred seventy-two million, six hundred sixty-two thousand, eight hundred thirteen".

Divisors: 1 3 9 41 73 123 193 219 369 579 657 1737 2993 7913 8979 14089 23739 26693 26937 42267 71217 80079 126801 240237 577649 1094413 1732947 1948589 3283239 5151749 5198841 5845767 9849717 15455247 17537301 46365741 79892149 211221709 239676447 376077677 633665127 719029341 1128233031 1900995381 3384699093 15419184757 46257554271 138772662813