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146591972309 is a prime number
BaseRepresentation
bin1000100010000110001…
…1111111101111010101
3112000101020122202202202
42020201203333233111
54400210021103214
6151202102414245
713406454130316
oct2104143775725
9460336582682
10146591972309
115719538a542
12244b1431385
1310a924a5723
147148cd460d
153c2e7dd6de
hex22218ffbd5

146591972309 has 2 divisors, whose sum is σ = 146591972310. Its totient is φ = 146591972308.

The previous prime is 146591972291. The next prime is 146591972311. The reversal of 146591972309 is 903279195641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110122431409 + 36469540900 = 331847^2 + 190970^2 .

It is an emirp because it is prime and its reverse (903279195641) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 146591972309 - 28 = 146591972053 is a prime.

Together with 146591972311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146591972369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73295986154 + 73295986155.

It is an arithmetic number, because the mean of its divisors is an integer number (73295986155).

Almost surely, 2146591972309 is an apocalyptic number.

It is an amenable number.

146591972309 is a deficient number, since it is larger than the sum of its proper divisors (1).

146591972309 is an equidigital number, since it uses as much as digits as its factorization.

146591972309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3674160, while the sum is 56.

The spelling of 146591972309 in words is "one hundred forty-six billion, five hundred ninety-one million, nine hundred seventy-two thousand, three hundred nine".