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455780263225 = 5272192892
BaseRepresentation
bin1101010000111101001…
…11101110010100111001
31121120110002222100002211
412220132213232110321
524431414221410400
6545214344455121
744633442213100
oct6503647562471
91546402870084
10455780263225
111663280927a1
12743bba7a4a1
1333c97a9c161
14180ba463037
15bcc896ddba
hex6a1e9ee539

455780263225 has 27 divisors (see below), whose sum is σ = 657473861037. Its totient is φ = 312518834880.

The previous prime is 455780263219. The next prime is 455780263243. The reversal of 455780263225 is 522362087554.

The square root of 455780263225 is 675115.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1595922601 + 454184340624 = 39949^2 + 673932^2 .

It is not a de Polignac number, because 455780263225 - 223 = 455771874617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23619381 + ... + 23638669.

Almost surely, 2455780263225 is an apocalyptic number.

455780263225 is the 675115-th square number.

455780263225 is the 337558-th centered octagonal number.

It is an amenable number.

455780263225 is a deficient number, since it is larger than the sum of its proper divisors (201693597812).

455780263225 is an frugal number, since it uses more digits than its factorization.

455780263225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38602 (or 19301 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 49.

Multiplying 455780263225 by its sum of digits (49), we get a square (22333232898025 = 47258052).

455780263225 divided by its sum of digits (49) gives a square (9301638025 = 964452).

The spelling of 455780263225 in words is "four hundred fifty-five billion, seven hundred eighty million, two hundred sixty-three thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 19289 96445 135023 482225 675115 945161 3375575 4725805 23629025 372065521 1860327605 2604458647 9301638025 13022293235 18231210529 65111466175 91156052645 455780263225