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1288949262817 is a prime number
BaseRepresentation
bin10010110000011011010…
…111001110100111100001
311120020000002102211122211
4102300123113032213201
5132104232002402232
62424045104002121
7162060235650616
oct22603327164741
94506002384584
101288949262817
1145770528a847
12189982600341
1394716816cb8
1446557a6c50d
15237ddbb2a47
hex12c1b5ce9e1

1288949262817 has 2 divisors, whose sum is σ = 1288949262818. Its totient is φ = 1288949262816.

The previous prime is 1288949262779. The next prime is 1288949262857. The reversal of 1288949262817 is 7182629498821.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1254498561936 + 34450700881 = 1120044^2 + 185609^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1288949262817 is a prime.

It is a super-2 number, since 2×12889492628172 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1288949262857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 644474631408 + 644474631409.

It is an arithmetic number, because the mean of its divisors is an integer number (644474631409).

Almost surely, 21288949262817 is an apocalyptic number.

It is an amenable number.

1288949262817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1288949262817 is an equidigital number, since it uses as much as digits as its factorization.

1288949262817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55738368, while the sum is 67.

The spelling of 1288949262817 in words is "one trillion, two hundred eighty-eight billion, nine hundred forty-nine million, two hundred sixty-two thousand, eight hundred seventeen".