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11480051025 = 345223812
BaseRepresentation
bin10101011000100001…
…11010110101010001
31002122001202000110000
422230100322311101
5142002343113100
65135053200213
7554325552342
oct125420726521
932561660400
1011480051025
11496120a283
122284790069
13110c516601
147ac9520c9
15472cb6900
hex2ac43ad51

11480051025 has 45 divisors (see below), whose sum is σ = 21273957793. Its totient is φ = 6120122400.

The previous prime is 11480051017. The next prime is 11480051053. The reversal of 11480051025 is 52015008411.

The square root of 11480051025 is 107145.

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

11480051025 is a `hidden beast` number, since 1 + 148 + 0 + 0 + 510 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7025289489 + 4454761536 = 83817^2 + 66744^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 11480051025 - 23 = 11480051017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11480051025.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4820335 + ... + 4822715.

Almost surely, 211480051025 is an apocalyptic number.

11480051025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11480051025 is the 107145-th square number.

11480051025 is the 53573-rd centered octagonal number.

It is an amenable number.

11480051025 is a deficient number, since it is larger than the sum of its proper divisors (9793906768).

11480051025 is an frugal number, since it uses more digits than its factorization.

11480051025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Multiplying 11480051025 by its product of nonzero digits (1600), we get a square (18368081640000 = 42858002).

Adding to 11480051025 its reverse (52015008411), we get a palindrome (63495059436).

The spelling of 11480051025 in words is "eleven billion, four hundred eighty million, fifty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2381 7143 11905 21429 35715 59525 64287 107145 178575 192861 321435 535725 964305 1607175 4821525 5669161 17007483 28345805 51022449 85037415 141729025 153067347 255112245 425187075 459202041 765336735 1275561225 2296010205 3826683675 11480051025