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10076448689009 is a prime number
BaseRepresentation
bin1001001010100001101100…
…1001010000101101110001
31022200022002000221000222122
42102220123021100231301
52310043031331022014
633233020121444025
72056666535441453
oct222503311205561
938608060830878
1010076448689009
11323544165763a
121168a72340615
135812885c9991
1426b9ba3902d3
151271a176b58e
hex92a1b250b71

10076448689009 has 2 divisors, whose sum is σ = 10076448689010. Its totient is φ = 10076448689008.

The previous prime is 10076448688979. The next prime is 10076448689023. The reversal of 10076448689009 is 90098684467001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5712410704225 + 4364037984784 = 2390065^2 + 2089028^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10076448689009 is a prime.

It is a super-3 number, since 3×100764486890093 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10076448689029) 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, 5038224344504 + 5038224344505.

It is an arithmetic number, because the mean of its divisors is an integer number (5038224344505).

Almost surely, 210076448689009 is an apocalyptic number.

It is an amenable number.

10076448689009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10076448689009 is an equidigital number, since it uses as much as digits as its factorization.

10076448689009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20901888, while the sum is 62.

The spelling of 10076448689009 in words is "ten trillion, seventy-six billion, four hundred forty-eight million, six hundred eighty-nine thousand, nine".