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10073406689 is a prime number
BaseRepresentation
bin10010110000110101…
…11111110011100001
3222000000220002011122
421120122333303201
5131112243003224
64343324022025
7504425354423
oct113032776341
928000802148
1010073406689
1142aa1a25a5
121b51691915
13c46c7c798
146b7bd0813
153de55d15e
hex2586bfce1

10073406689 has 2 divisors, whose sum is σ = 10073406690. Its totient is φ = 10073406688.

The previous prime is 10073406671. The next prime is 10073406691. The reversal of 10073406689 is 98660437001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8060987089 + 2012419600 = 89783^2 + 44860^2 .

It is a cyclic number.

It is not a de Polignac number, because 10073406689 - 228 = 9804971233 is a prime.

Together with 10073406691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10073406989) 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, 5036703344 + 5036703345.

It is an arithmetic number, because the mean of its divisors is an integer number (5036703345).

Almost surely, 210073406689 is an apocalyptic number.

It is an amenable number.

10073406689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10073406689 is an equidigital number, since it uses as much as digits as its factorization.

10073406689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 10073406689 in words is "ten billion, seventy-three million, four hundred six thousand, six hundred eighty-nine".