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26121346553 is a prime number
BaseRepresentation
bin11000010100111101…
…000001110111111001
32111102102220220002202
4120110331001313321
5411444031042203
615555555035545
71613211532211
oct302475016771
974372826082
1026121346553
1110094901315
12508bb9bbb5
13260394c4a3
14139b281241
15a2d373388
hex614f41df9

26121346553 has 2 divisors, whose sum is σ = 26121346554. Its totient is φ = 26121346552.

The previous prime is 26121346513. The next prime is 26121346571. The reversal of 26121346553 is 35564312162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23727397369 + 2393949184 = 154037^2 + 48928^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-26121346553 is a prime.

It is not a weakly prime, because it can be changed into another prime (26121346513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13060673276 + 13060673277.

It is an arithmetic number, because the mean of its divisors is an integer number (13060673277).

Almost surely, 226121346553 is an apocalyptic number.

It is an amenable number.

26121346553 is a deficient number, since it is larger than the sum of its proper divisors (1).

26121346553 is an equidigital number, since it uses as much as digits as its factorization.

26121346553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129600, while the sum is 38.

The spelling of 26121346553 in words is "twenty-six billion, one hundred twenty-one million, three hundred forty-six thousand, five hundred fifty-three".