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445365365449 = 4143972
BaseRepresentation
bin1100111101100011101…
…10000010101011001001
31120120120021111201020011
412132301312002223021
524244102013143244
6540333101231521
744114366100454
oct6366166025311
91516507451204
10445365365449
11161973157964
1272393b625a1
1332cc8155454
14177ad17c49b
15b8b9458434
hex67b1d82ac9

445365365449 has 15 divisors (see below), whose sum is σ = 457652264835. Its totient is φ = 433408330080.

The previous prime is 445365365437. The next prime is 445365365507. The reversal of 445365365449 is 944563563544.

It is a happy number.

The square root of 445365365449 is 667357.

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

It can be written as a sum of positive squares in 7 ways, for example, as 432746887225 + 12618478224 = 657835^2 + 112332^2 .

It is not a de Polignac number, because 445365365449 - 215 = 445365332681 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 445365365393 and 445365365402.

It is not an unprimeable number, because it can be changed into a prime (445365335449) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1121826919 + ... + 1121827315.

It is an arithmetic number, because the mean of its divisors is an integer number (30510150989).

Almost surely, 2445365365449 is an apocalyptic number.

445365365449 is the 667357-th square number.

445365365449 is the 333679-th centered octagonal number.

It is an amenable number.

445365365449 is a deficient number, since it is larger than the sum of its proper divisors (12286899386).

445365365449 is an frugal number, since it uses more digits than its factorization.

445365365449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 438 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 58.

The spelling of 445365365449 in words is "four hundred forty-five billion, three hundred sixty-five million, three hundred sixty-five thousand, four hundred forty-nine".

Divisors: 1 41 397 1681 16277 68921 157609 667357 2825761 6461969 27361637 264940729 1121827117 10862569889 445365365449