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10067077049 is a prime number
BaseRepresentation
bin10010110000000101…
…10110011110111001
3221222120222111112112
421120002312132321
5131104132431144
64342540222105
7504320512601
oct113002663671
927876874475
1010067077049
1142a6669a97
121b4b53a935
13c45874733
146b7023c01
153ddc0c99e
hex2580b67b9

10067077049 has 2 divisors, whose sum is σ = 10067077050. Its totient is φ = 10067077048.

The previous prime is 10067077019. The next prime is 10067077099. The reversal of 10067077049 is 94077076001.

10067077049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9710131600 + 356945449 = 98540^2 + 18893^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10067077049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10067076997 and 10067077015.

It is not a weakly prime, because it can be changed into another prime (10067077019) 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, 5033538524 + 5033538525.

It is an arithmetic number, because the mean of its divisors is an integer number (5033538525).

Almost surely, 210067077049 is an apocalyptic number.

It is an amenable number.

10067077049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10067077049 is an equidigital number, since it uses as much as digits as its factorization.

10067077049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 74088, while the sum is 41.

The spelling of 10067077049 in words is "ten billion, sixty-seven million, seventy-seven thousand, forty-nine".