Search a number
-
+
137026548649 is a prime number
BaseRepresentation
bin111111110011101101…
…0110011001110101001
3111002200121121220022101
41333213122303032221
54221112244024044
6142541002253401
712620434305634
oct1774732631651
9432617556271
10137026548649
1153126a07131
1222681ab7261
13cbc9844823
1468bc776c1b
15386eb73cd4
hex1fe76b33a9

137026548649 has 2 divisors, whose sum is σ = 137026548650. Its totient is φ = 137026548648.

The previous prime is 137026548611. The next prime is 137026548653. The reversal of 137026548649 is 946845620731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121741677225 + 15284871424 = 348915^2 + 123632^2 .

It is a cyclic number.

It is not a de Polignac number, because 137026548649 - 227 = 136892330921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137026548649.

It is not a weakly prime, because it can be changed into another prime (137026548749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68513274324 + 68513274325.

It is an arithmetic number, because the mean of its divisors is an integer number (68513274325).

It is a 1-persistent number, because it is pandigital, but 2⋅137026548649 = 274053097298 is not.

Almost surely, 2137026548649 is an apocalyptic number.

It is an amenable number.

137026548649 is a deficient number, since it is larger than the sum of its proper divisors (1).

137026548649 is an equidigital number, since it uses as much as digits as its factorization.

137026548649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 137026548649 in words is "one hundred thirty-seven billion, twenty-six million, five hundred forty-eight thousand, six hundred forty-nine".