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12667828057 is a prime number
BaseRepresentation
bin10111100110000111…
…11011011101011001
31012200211202100012221
423303003323131121
5201420430444212
65453003304041
7625630522213
oct136303733531
935624670187
1012667828057
115410727795
12255651b021
13126b61b461
148825bd5b3
154e21da807
hex2f30fb759

12667828057 has 2 divisors, whose sum is σ = 12667828058. Its totient is φ = 12667828056.

The previous prime is 12667827983. The next prime is 12667828073. The reversal of 12667828057 is 75082876621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12487839001 + 179989056 = 111749^2 + 13416^2 .

It is an emirp because it is prime and its reverse (75082876621) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12667828057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12667827995 and 12667828013.

It is not a weakly prime, because it can be changed into another prime (12667328057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6333914028 + 6333914029.

It is an arithmetic number, because the mean of its divisors is an integer number (6333914029).

Almost surely, 212667828057 is an apocalyptic number.

It is an amenable number.

12667828057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12667828057 is an equidigital number, since it uses as much as digits as its factorization.

12667828057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 12667828057 in words is "twelve billion, six hundred sixty-seven million, eight hundred twenty-eight thousand, fifty-seven".