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71364877846313 is a prime number
BaseRepresentation
bin10000001110011111101110…
…001100011000011100101001
3100100200102020001002021222112
4100032133232030120130221
533323220232212040223
6411440323340332105
721013641125635412
oct2016375614303451
9310612201067875
1071364877846313
112081474707a517
128006ba9244035
1330a88a9cba8cc
14138a115648809
1583b56e4e6778
hex40e7ee318729

71364877846313 has 2 divisors, whose sum is σ = 71364877846314. Its totient is φ = 71364877846312.

The previous prime is 71364877846307. The next prime is 71364877846357. The reversal of 71364877846313 is 31364877846317.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70601468491024 + 763409355289 = 8402468^2 + 873733^2 .

It is a cyclic number.

It is not a de Polignac number, because 71364877846313 - 236 = 71296158369577 is a prime.

It is not a weakly prime, because it can be changed into another prime (71364877846363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35682438923156 + 35682438923157.

It is an arithmetic number, because the mean of its divisors is an integer number (35682438923157).

Almost surely, 271364877846313 is an apocalyptic number.

It is an amenable number.

71364877846313 is a deficient number, since it is larger than the sum of its proper divisors (1).

71364877846313 is an equidigital number, since it uses as much as digits as its factorization.

71364877846313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 341397504, while the sum is 68.

The spelling of 71364877846313 in words is "seventy-one trillion, three hundred sixty-four billion, eight hundred seventy-seven million, eight hundred forty-six thousand, three hundred thirteen".