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146345291993 is a prime number
BaseRepresentation
bin1000100001001011011…
…0111111000011011001
3111222202001111002222202
42020102312333003121
54344203343320433
6151121411255545
713400400312605
oct2102266770331
9458661432882
10146345291993
1157079113a0a
12244428aa5b5
1310a53356044
147124240505
153c17d12ee8
hex2212dbf0d9

146345291993 has 2 divisors, whose sum is σ = 146345291994. Its totient is φ = 146345291992.

The previous prime is 146345291921. The next prime is 146345292073. The reversal of 146345291993 is 399192543641.

146345291993 is digitally balanced in base 2, because in such base 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., 106013406409 + 40331885584 = 325597^2 + 200828^2 .

It is an emirp because it is prime and its reverse (399192543641) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 146345291993 - 224 = 146328514777 is a prime.

It is not a weakly prime, because it can be changed into another prime (146345299993) 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, 73172645996 + 73172645997.

It is an arithmetic number, because the mean of its divisors is an integer number (73172645997).

Almost surely, 2146345291993 is an apocalyptic number.

It is an amenable number.

146345291993 is a deficient number, since it is larger than the sum of its proper divisors (1).

146345291993 is an equidigital number, since it uses as much as digits as its factorization.

146345291993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6298560, while the sum is 56.

The spelling of 146345291993 in words is "one hundred forty-six billion, three hundred forty-five million, two hundred ninety-one thousand, nine hundred ninety-three".