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137679162749 is a prime number
BaseRepresentation
bin1000000000111001010…
…0010100110101111101
3111011101002122010112222
42000032110110311331
54223431331201444
6143125434135125
712642550400642
oct2001624246575
9434332563488
10137679162749
1153431330827
12228245814a5
13cca1b0260b
1469412d7dc9
1538ac0d5eee
hex200e514d7d

137679162749 has 2 divisors, whose sum is σ = 137679162750. Its totient is φ = 137679162748.

The previous prime is 137679162721. The next prime is 137679162763. The reversal of 137679162749 is 947261976731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71227603225 + 66451559524 = 266885^2 + 257782^2 .

It is a cyclic number.

It is not a de Polignac number, because 137679162749 - 236 = 68959686013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137679162691 and 137679162700.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137679162769) 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 as a sum of consecutive naturals, namely, 68839581374 + 68839581375.

It is an arithmetic number, because the mean of its divisors is an integer number (68839581375).

Almost surely, 2137679162749 is an apocalyptic number.

It is an amenable number.

137679162749 is a deficient number, since it is larger than the sum of its proper divisors (1).

137679162749 is an equidigital number, since it uses as much as digits as its factorization.

137679162749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24004512, while the sum is 62.

The spelling of 137679162749 in words is "one hundred thirty-seven billion, six hundred seventy-nine million, one hundred sixty-two thousand, seven hundred forty-nine".