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10347695593 is a prime number
BaseRepresentation
bin10011010001100010…
…10100110111101001
3222201011000101210221
421220301110313221
5132143002224333
64430443010041
7514265650504
oct115061246751
928634011727
1010347695593
114430005944
122009509921
13c8ba47801
147023d013b
1540868dd2d
hex268c54de9

10347695593 has 2 divisors, whose sum is σ = 10347695594. Its totient is φ = 10347695592.

The previous prime is 10347695591. The next prime is 10347695671. The reversal of 10347695593 is 39559674301.

10347695593 is digitally balanced in base 2 and base 3, because in such bases 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., 7384308624 + 2963386969 = 85932^2 + 54437^2 .

It is a cyclic number.

It is not a de Polignac number, because 10347695593 - 21 = 10347695591 is a prime.

Together with 10347695591, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10347695593.

It is not a weakly prime, because it can be changed into another prime (10347695591) 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, 5173847796 + 5173847797.

It is an arithmetic number, because the mean of its divisors is an integer number (5173847797).

Almost surely, 210347695593 is an apocalyptic number.

It is an amenable number.

10347695593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10347695593 is an equidigital number, since it uses as much as digits as its factorization.

10347695593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3061800, while the sum is 52.

The spelling of 10347695593 in words is "ten billion, three hundred forty-seven million, six hundred ninety-five thousand, five hundred ninety-three".