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445766212147441 is a prime number
BaseRepresentation
bin110010101011011000000100…
…0101110100101100011110001
32011110022211111202122020121111
41211112300020232211203301
5431411413200302204231
64220022100521153321
7162615355201400503
oct14526601056454361
92143284452566544
10445766212147441
1111a042430724229
1241bb458a62b841
131619675babaa73
147c112b22d7d73
1536806074184b1
hex1956c08ba58f1

445766212147441 has 2 divisors, whose sum is σ = 445766212147442. Its totient is φ = 445766212147440.

The previous prime is 445766212147439. The next prime is 445766212147469. The reversal of 445766212147441 is 144741212667544.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 390508977690000 + 55257234457441 = 19761300^2 + 7433521^2 .

It is a cyclic number.

It is not a de Polignac number, because 445766212147441 - 21 = 445766212147439 is a prime.

It is a super-2 number, since 2×4457662121474412 (a number of 30 digits) contains 22 as substring.

Together with 445766212147439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (445766212147411) 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, 222883106073720 + 222883106073721.

It is an arithmetic number, because the mean of its divisors is an integer number (222883106073721).

Almost surely, 2445766212147441 is an apocalyptic number.

It is an amenable number.

445766212147441 is a deficient number, since it is larger than the sum of its proper divisors (1).

445766212147441 is an equidigital number, since it uses as much as digits as its factorization.

445766212147441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36126720, while the sum is 58.

The spelling of 445766212147441 in words is "four hundred forty-five trillion, seven hundred sixty-six billion, two hundred twelve million, one hundred forty-seven thousand, four hundred forty-one".