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10347471677 is a prime number
BaseRepresentation
bin10011010001100000…
…11110001100111101
3222201010121000122202
421220300132030331
5132142423043202
64430434121245
7514264025624
oct115060361475
928633530582
1010347471677
11442a972694
122009420225
13c8b99990a
147023726bb
15408647802
hex268c1e33d

10347471677 has 2 divisors, whose sum is σ = 10347471678. Its totient is φ = 10347471676.

The previous prime is 10347471661. The next prime is 10347471721. The reversal of 10347471677 is 77617474301.

10347471677 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., 6811861156 + 3535610521 = 82534^2 + 59461^2 .

It is a cyclic number.

It is not a de Polignac number, because 10347471677 - 24 = 10347471661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10347471077) 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, 5173735838 + 5173735839.

It is an arithmetic number, because the mean of its divisors is an integer number (5173735839).

Almost surely, 210347471677 is an apocalyptic number.

It is an amenable number.

10347471677 is a deficient number, since it is larger than the sum of its proper divisors (1).

10347471677 is an equidigital number, since it uses as much as digits as its factorization.

10347471677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691488, while the sum is 47.

The spelling of 10347471677 in words is "ten billion, three hundred forty-seven million, four hundred seventy-one thousand, six hundred seventy-seven".