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145936178209 is a prime number
BaseRepresentation
bin1000011111101001111…
…0010101110000100001
3111221200112122222101101
42013322132111300201
54342334130200314
6151013034434401
713354302022213
oct2077236256041
9457615588341
10145936178209
1156989193748
1224349892a01
13109b9673393
1470c5b865b3
153be1e4e174
hex21fa795c21

145936178209 has 2 divisors, whose sum is σ = 145936178210. Its totient is φ = 145936178208.

The previous prime is 145936178111. The next prime is 145936178237. The reversal of 145936178209 is 902871639541.

It is a happy number.

145936178209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140397841809 + 5538336400 = 374697^2 + 74420^2 .

It is a cyclic number.

It is not a de Polignac number, because 145936178209 - 27 = 145936178081 is a prime.

It is a super-2 number, since 2×1459361782092 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145936178209.

It is not a weakly prime, because it can be changed into another prime (145936178299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72968089104 + 72968089105.

It is an arithmetic number, because the mean of its divisors is an integer number (72968089105).

It is a 1-persistent number, because it is pandigital, but 2⋅145936178209 = 291872356418 is not.

Almost surely, 2145936178209 is an apocalyptic number.

It is an amenable number.

145936178209 is a deficient number, since it is larger than the sum of its proper divisors (1).

145936178209 is an equidigital number, since it uses as much as digits as its factorization.

145936178209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 145936178209 in words is "one hundred forty-five billion, nine hundred thirty-six million, one hundred seventy-eight thousand, two hundred nine".