Search a number
-
+
138629026237049 is a prime number
BaseRepresentation
bin11111100001010100010101…
…110111010100101001111001
3200011211210202012020100211222
4133201110111313110221321
5121132244221204041144
61210501143453201425
741125421334420605
oct3741242567245171
9604753665210758
10138629026237049
1140198270294517
121366b298490275
135c47879519a2a
142633975a8c505
1511060d47582ee
hex7e1515dd4a79

138629026237049 has 2 divisors, whose sum is σ = 138629026237050. Its totient is φ = 138629026237048.

The previous prime is 138629026236947. The next prime is 138629026237081. The reversal of 138629026237049 is 940732620926831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104100392761600 + 34528633475449 = 10202960^2 + 5876107^2 .

It is an emirp because it is prime and its reverse (940732620926831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138629026237049 - 212 = 138629026232953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138629026236982 and 138629026237000.

It is not a weakly prime, because it can be changed into another prime (138629026237249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69314513118524 + 69314513118525.

It is an arithmetic number, because the mean of its divisors is an integer number (69314513118525).

Almost surely, 2138629026237049 is an apocalyptic number.

It is an amenable number.

138629026237049 is a deficient number, since it is larger than the sum of its proper divisors (1).

138629026237049 is an equidigital number, since it uses as much as digits as its factorization.

138629026237049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47029248, while the sum is 62.

The spelling of 138629026237049 in words is "one hundred thirty-eight trillion, six hundred twenty-nine billion, twenty-six million, two hundred thirty-seven thousand, forty-nine".