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8022450106449 = 32503218772
BaseRepresentation
bin111010010111101111101…
…0010011111000001010001
31001101221100100012222022100
41310233133102133001101
52022414434211401244
625021243535431013
71455413535526512
oct164573722370121
931357310188270
108022450106449
112613335a38519
12a9697a385469
1346268aa7c40c
141da408108a09
15dda37d53b69
hex74bdf49f051

8022450106449 has 27 divisors (see below), whose sum is σ = 11617256294683. Its totient is φ = 5334823545072.

The previous prime is 8022450106423. The next prime is 8022450106469. The reversal of 8022450106449 is 9446010542208.

It is a happy number.

The square root of 8022450106449 is 2832393.

It is a perfect power (a square), and thus also a powerful number.

8022450106449 is a `hidden beast` number, since 80 + 2 + 2 + 4 + 501 + 0 + 64 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5021475948225 + 3000974158224 = 2240865^2 + 1732332^2 .

It is not a de Polignac number, because 8022450106449 - 25 = 8022450106417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8022450106409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4274080099 + ... + 4274081975.

Almost surely, 28022450106449 is an apocalyptic number.

8022450106449 is the 2832393-rd square number.

8022450106449 is the 1416197-th centered octagonal number.

It is an amenable number.

8022450106449 is a deficient number, since it is larger than the sum of its proper divisors (3594806188234).

8022450106449 is an frugal number, since it uses more digits than its factorization.

8022450106449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 8022450106449 in words is "eight trillion, twenty-two billion, four hundred fifty million, one hundred six thousand, four hundred forty-nine".

Divisors: 1 3 9 503 1509 1877 4527 5631 16893 253009 759027 944131 2277081 2832393 3523129 8497179 10569387 31708161 474897893 1424693679 1772133887 4274081037 5316401661 15949204983 891383345161 2674150035483 8022450106449