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10073437741 is a prime number
BaseRepresentation
bin10010110000110110…
…00111011000101101
3222000000221122202201
421120123013120231
5131112300001431
64343324421501
7504425544103
oct113033073055
928000848681
1010073437741
1142aa213964
121b516a7891
13c46c90963
146b7bdbc73
153de567461
hex2586c762d

10073437741 has 2 divisors, whose sum is σ = 10073437742. Its totient is φ = 10073437740.

The previous prime is 10073437697. The next prime is 10073437757. The reversal of 10073437741 is 14773437001.

10073437741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9974016900 + 99420841 = 99870^2 + 9971^2 .

It is a cyclic number.

It is not a de Polignac number, because 10073437741 - 29 = 10073437229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10073437741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10076437741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036718870 + 5036718871.

It is an arithmetic number, because the mean of its divisors is an integer number (5036718871).

Almost surely, 210073437741 is an apocalyptic number.

It is an amenable number.

10073437741 is a deficient number, since it is larger than the sum of its proper divisors (1).

10073437741 is an equidigital number, since it uses as much as digits as its factorization.

10073437741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 10073437741 in words is "ten billion, seventy-three million, four hundred thirty-seven thousand, seven hundred forty-one".