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993480660225 = 3252664492
BaseRepresentation
bin11100111010100000000…
…11111101010100000001
310111222100101010122120100
432131100003331110001
5112234122022111400
62040222042233013
7131530243164354
oct16352003752401
93458311118510
10993480660225
11353372a29489
121406627b5769
13728b9735c41
143612868a29b
151ac99245100
hexe7500fd501

993480660225 has 27 divisors (see below), whose sum is σ = 1779461028553. Its totient is φ = 529848378240.

The previous prime is 993480660217. The next prime is 993480660233. The reversal of 993480660225 is 522066084399.

It is a happy number.

The square root of 993480660225 is 996735.

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

993480660225 is a `hidden beast` number, since 9 + 9 + 3 + 4 + 8 + 0 + 6 + 602 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (993480660217) and next prime (993480660233).

It can be written as a sum of positive squares in 4 ways, for example, as 218538485361 + 774942174864 = 467481^2 + 880308^2 .

It is not a de Polignac number, because 993480660225 - 23 = 993480660217 is a prime.

It is a super-2 number, since 2×9934806602252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

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, 14917801 + ... + 14984249.

Almost surely, 2993480660225 is an apocalyptic number.

993480660225 is the 996735-th square number.

993480660225 is the 498368-th centered octagonal number.

It is an amenable number.

993480660225 is a deficient number, since it is larger than the sum of its proper divisors (785980368328).

993480660225 is an frugal number, since it uses more digits than its factorization.

993480660225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132914 (or 66457 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 993480660225 in words is "nine hundred ninety-three billion, four hundred eighty million, six hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 66449 199347 332245 598041 996735 1661225 2990205 4983675 14951025 4415469601 13246408803 22077348005 39739226409 66232044015 110386740025 198696132045 331160220075 993480660225