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146268837289 is a prime number
BaseRepresentation
bin1000100000111001001…
…1010101010110101001
3111222112201121210212001
42020032103111112221
54344024310243124
6151110040451001
713365451413601
oct2101623252651
9458481553761
10146268837289
1157039a44403
1224421179a61
1310a40567583
14711801bc01
153c1125eb44
hex220e4d55a9

146268837289 has 2 divisors, whose sum is σ = 146268837290. Its totient is φ = 146268837288.

The previous prime is 146268837181. The next prime is 146268837293. The reversal of 146268837289 is 982738862641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141276001689 + 4992835600 = 375867^2 + 70660^2 .

It is a cyclic number.

It is not a de Polignac number, because 146268837289 - 211 = 146268835241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146268837289.

It is not a weakly prime, because it can be changed into another prime (146268837989) 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, 73134418644 + 73134418645.

It is an arithmetic number, because the mean of its divisors is an integer number (73134418645).

Almost surely, 2146268837289 is an apocalyptic number.

It is an amenable number.

146268837289 is a deficient number, since it is larger than the sum of its proper divisors (1).

146268837289 is an equidigital number, since it uses as much as digits as its factorization.

146268837289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55738368, while the sum is 64.

The spelling of 146268837289 in words is "one hundred forty-six billion, two hundred sixty-eight million, eight hundred thirty-seven thousand, two hundred eighty-nine".