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145891000729 is a prime number
BaseRepresentation
bin1000011111011111001…
…0000000000110011001
3111221120101122201112101
42013313302000012121
54342241044010404
6151004342243401
713353213021355
oct2076762000631
9457511581471
10145891000729
1156965737191
1224336726561
13109b01b6046
1470bdb86465
153bdcec82a4
hex21f7c80199

145891000729 has 2 divisors, whose sum is σ = 145891000730. Its totient is φ = 145891000728.

The previous prime is 145891000711. The next prime is 145891000789. The reversal of 145891000729 is 927000198541.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90825685129 + 55065315600 = 301373^2 + 234660^2 .

It is a cyclic number.

It is not a de Polignac number, because 145891000729 - 29 = 145891000217 is a prime.

It is not a weakly prime, because it can be changed into another prime (145891000789) 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, 72945500364 + 72945500365.

It is an arithmetic number, because the mean of its divisors is an integer number (72945500365).

Almost surely, 2145891000729 is an apocalyptic number.

It is an amenable number.

145891000729 is a deficient number, since it is larger than the sum of its proper divisors (1).

145891000729 is an equidigital number, since it uses as much as digits as its factorization.

145891000729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 145891000729 in words is "one hundred forty-five billion, eight hundred ninety-one million, seven hundred twenty-nine", and thus it is an aban number.