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123746838653 is a prime number
BaseRepresentation
bin111001100111111100…
…0101110100001111101
3102211102010111201212102
41303033320232201331
54011413142314103
6132503140114445
711640363526154
oct1631770564175
9384363451772
10123746838653
1148531956499
121bb96695a25
13b89152a469
145dbcbda59b
153343dbee88
hex1ccfe2e87d

123746838653 has 2 divisors, whose sum is σ = 123746838654. Its totient is φ = 123746838652.

The previous prime is 123746838601. The next prime is 123746838673. The reversal of 123746838653 is 356838647321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109987079449 + 13759759204 = 331643^2 + 117302^2 .

It is a cyclic number.

It is not a de Polignac number, because 123746838653 - 222 = 123742644349 is a prime.

It is a super-2 number, since 2×1237468386532 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123746838673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61873419326 + 61873419327.

It is an arithmetic number, because the mean of its divisors is an integer number (61873419327).

Almost surely, 2123746838653 is an apocalyptic number.

It is an amenable number.

123746838653 is a deficient number, since it is larger than the sum of its proper divisors (1).

123746838653 is an equidigital number, since it uses as much as digits as its factorization.

123746838653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17418240, while the sum is 56.

The spelling of 123746838653 in words is "one hundred twenty-three billion, seven hundred forty-six million, eight hundred thirty-eight thousand, six hundred fifty-three".