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10408816126721 is a prime number
BaseRepresentation
bin1001011101110111110111…
…0010011010101100000001
31100212001222021220021010002
42113131331302122230001
52331014223412023341
634045424421245345
72123004111156545
oct227357562325401
940761867807102
1010408816126721
113353399389961
12120136b563855
135a6716117c9c
1427db0a121a25
15130b557e729b
hex9777dc9ab01

10408816126721 has 2 divisors, whose sum is σ = 10408816126722. Its totient is φ = 10408816126720.

The previous prime is 10408816126711. The next prime is 10408816126727. The reversal of 10408816126721 is 12762161880401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9894239451121 + 514576675600 = 3145511^2 + 717340^2 .

It is a cyclic number.

It is not a de Polignac number, because 10408816126721 - 226 = 10408749017857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10408816126727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5204408063360 + 5204408063361.

It is an arithmetic number, because the mean of its divisors is an integer number (5204408063361).

Almost surely, 210408816126721 is an apocalyptic number.

It is an amenable number.

10408816126721 is a deficient number, since it is larger than the sum of its proper divisors (1).

10408816126721 is an equidigital number, since it uses as much as digits as its factorization.

10408816126721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 10408816126721 in words is "ten trillion, four hundred eight billion, eight hundred sixteen million, one hundred twenty-six thousand, seven hundred twenty-one".