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146523663226481 is a prime number
BaseRepresentation
bin100001010100001100110010…
…111001011101011001110001
3201012210112012000112021000112
4201110030302321131121301
5123201120430241221411
61235344012554231105
742601661652551252
oct4124146271353161
9635715160467015
10146523663226481
1142761378033412
1214525326425495
13639b1784b2708
142827ad6d12b29
1511e163b723b8b
hex854332e5d671

146523663226481 has 2 divisors, whose sum is σ = 146523663226482. Its totient is φ = 146523663226480.

The previous prime is 146523663226439. The next prime is 146523663226517. The reversal of 146523663226481 is 184622366325641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130854930585856 + 15668732640625 = 11439184^2 + 3958375^2 .

It is a cyclic number.

It is not a de Polignac number, because 146523663226481 - 218 = 146523662964337 is a prime.

It is a super-2 number, since 2×1465236632264812 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 146523663226481.

It is not a weakly prime, because it can be changed into another prime (146523663223481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73261831613240 + 73261831613241.

It is an arithmetic number, because the mean of its divisors is an integer number (73261831613241).

Almost surely, 2146523663226481 is an apocalyptic number.

It is an amenable number.

146523663226481 is a deficient number, since it is larger than the sum of its proper divisors (1).

146523663226481 is an equidigital number, since it uses as much as digits as its factorization.

146523663226481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 59719680, while the sum is 59.

The spelling of 146523663226481 in words is "one hundred forty-six trillion, five hundred twenty-three billion, six hundred sixty-three million, two hundred twenty-six thousand, four hundred eighty-one".