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146681417081 is a prime number
BaseRepresentation
bin1000100010011011100…
…1001100110101111001
3112000121110222000221002
42020212321030311321
54400400420321311
6151215015454345
713411621321253
oct2104671146571
9460543860832
10146681417081
1157230921741
12245173873b5
1310aa7b91a24
147156b38cd3
153c375aa93b
hex2226e4cd79

146681417081 has 2 divisors, whose sum is σ = 146681417082. Its totient is φ = 146681417080.

The previous prime is 146681417023. The next prime is 146681417089. The reversal of 146681417081 is 180714186641.

146681417081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100146298681 + 46535118400 = 316459^2 + 215720^2 .

It is a cyclic number.

It is not a de Polignac number, because 146681417081 - 222 = 146677222777 is a prime.

It is a super-2 number, since 2×1466814170812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (146681417089) 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, 73340708540 + 73340708541.

It is an arithmetic number, because the mean of its divisors is an integer number (73340708541).

Almost surely, 2146681417081 is an apocalyptic number.

It is an amenable number.

146681417081 is a deficient number, since it is larger than the sum of its proper divisors (1).

146681417081 is an equidigital number, since it uses as much as digits as its factorization.

146681417081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 146681417081 in words is "one hundred forty-six billion, six hundred eighty-one million, four hundred seventeen thousand, eighty-one".