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445728588401 is a prime number
BaseRepresentation
bin1100111110001110111…
…11101000001001110001
31120121111120222100110002
412133013133220021301
524300323004312101
6540433114315345
744126366326505
oct6370737501161
91517446870402
10445728588401
1116203a193718
1272475728b55
133305548b185
14178054cc305
15b8db2a4d6b
hex67c77e8271

445728588401 has 2 divisors, whose sum is σ = 445728588402. Its totient is φ = 445728588400.

The previous prime is 445728588269. The next prime is 445728588413. The reversal of 445728588401 is 104885827544.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 411188737600 + 34539850801 = 641240^2 + 185849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-445728588401 is a prime.

It is not a weakly prime, because it can be changed into another prime (445728588491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222864294200 + 222864294201.

It is an arithmetic number, because the mean of its divisors is an integer number (222864294201).

Almost surely, 2445728588401 is an apocalyptic number.

It is an amenable number.

445728588401 is a deficient number, since it is larger than the sum of its proper divisors (1).

445728588401 is an equidigital number, since it uses as much as digits as its factorization.

445728588401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11468800, while the sum is 56.

The spelling of 445728588401 in words is "four hundred forty-five billion, seven hundred twenty-eight million, five hundred eighty-eight thousand, four hundred one".