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146681348133409 is a prime number
BaseRepresentation
bin100001010110011111101001…
…101001101001001000100001
3201020100121012100111111100121
4201112133221221221020201
5123211211400110232114
61235544251525120241
742616243355262055
oct4126375151511041
9636317170444317
10146681348133409
1142812235056911
121454b9b2859081
1363accb7c2137b
1428315b5189c65
1511e57b9d0ca24
hex8567e9a69221

146681348133409 has 2 divisors, whose sum is σ = 146681348133410. Its totient is φ = 146681348133408.

The previous prime is 146681348133319. The next prime is 146681348133427. The reversal of 146681348133409 is 904331843186641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124910464032225 + 21770884101184 = 11176335^2 + 4665928^2 .

It is a cyclic number.

It is not a de Polignac number, because 146681348133409 - 211 = 146681348131361 is a prime.

It is a super-2 number, since 2×1466813481334092 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (146681348133499) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73340674066704 + 73340674066705.

It is an arithmetic number, because the mean of its divisors is an integer number (73340674066705).

Almost surely, 2146681348133409 is an apocalyptic number.

It is an amenable number.

146681348133409 is a deficient number, since it is larger than the sum of its proper divisors (1).

146681348133409 is an equidigital number, since it uses as much as digits as its factorization.

146681348133409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35831808, while the sum is 61.

The spelling of 146681348133409 in words is "one hundred forty-six trillion, six hundred eighty-one billion, three hundred forty-eight million, one hundred thirty-three thousand, four hundred nine".