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146663561201 is a prime number
BaseRepresentation
bin1000100010010111010…
…1000101011111110001
3112000120020100212021012
42020211311011133301
54400331332424301
6151213141040305
713411313462303
oct2104565053761
9460506325235
10146663561201
1157221836313
12245113b6095
1310aa427c511
14715460b973
153c35c2eebb
hex2225d457f1

146663561201 has 2 divisors, whose sum is σ = 146663561202. Its totient is φ = 146663561200.

The previous prime is 146663561197. The next prime is 146663561273. The reversal of 146663561201 is 102165366641.

146663561201 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., 115327480801 + 31336080400 = 339599^2 + 177020^2 .

It is a cyclic number.

It is not a de Polignac number, because 146663561201 - 22 = 146663561197 is a prime.

It is not a weakly prime, because it can be changed into another prime (146663561101) 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, 73331780600 + 73331780601.

It is an arithmetic number, because the mean of its divisors is an integer number (73331780601).

Almost surely, 2146663561201 is an apocalyptic number.

It is an amenable number.

146663561201 is a deficient number, since it is larger than the sum of its proper divisors (1).

146663561201 is an equidigital number, since it uses as much as digits as its factorization.

146663561201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 146663561201 in words is "one hundred forty-six billion, six hundred sixty-three million, five hundred sixty-one thousand, two hundred one".