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4464164702449 = 19261218232
BaseRepresentation
bin100000011110110010011…
…1100111000100011110001
3120210202210022110200102001
41000331210330320203301
51041120102130434244
613254450422254001
7640345106611354
oct100754474704361
916722708420361
104464164702449
111471272659681
12601227887301
13264c7996161a
141160d114029b
157b1caa625d4
hex40f64f388f1

4464164702449 has 27 divisors (see below), whose sum is σ = 4792619497419. Its totient is φ = 4157595490320.

The previous prime is 4464164702399. The next prime is 4464164702461. The reversal of 4464164702449 is 9442074614644.

The square root of 4464164702449 is 2112857.

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

It can be written as a sum of positive squares in only one way, i.e., 145166334049 + 4318998368400 = 381007^2 + 2078220^2 .

It is not a de Polignac number, because 4464164702449 - 237 = 4326725748977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4464164702449.

It is not an unprimeable number, because it can be changed into a prime (4464164702749) 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, 2448800352 + ... + 2448802174.

Almost surely, 24464164702449 is an apocalyptic number.

4464164702449 is the 2112857-th square number.

4464164702449 is the 1056429-th centered octagonal number.

It is an amenable number.

4464164702449 is a deficient number, since it is larger than the sum of its proper divisors (328454794970).

4464164702449 is an frugal number, since it uses more digits than its factorization.

4464164702449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 55.

The spelling of 4464164702449 in words is "four trillion, four hundred sixty-four billion, one hundred sixty-four million, seven hundred two thousand, four hundred forty-nine".

Divisors: 1 19 61 361 1159 1823 3721 22021 34637 70699 111203 658103 1343281 2112857 3323329 6783383 40144283 63143251 128884277 202723069 1199721769 2448801263 3851738311 12366107209 73183027909 234956036971 4464164702449