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1188328911025 = 522180212
BaseRepresentation
bin10001010010101101111…
…011000011000010110001
311012121021200111100201211
4101102231323003002301
5123432144200123100
62305524420400121
7151565620040404
oct21225573030261
94177250440654
101188328911025
11418a70766213
12172380b46041
138809c6343b9
1441730487d3b
1520da028a1ba
hex114adec30b1

1188328911025 has 9 divisors (see below), whose sum is σ = 1473534608353. Its totient is φ = 950658768400.

The previous prime is 1188328910957. The next prime is 1188328911041. The reversal of 1188328911025 is 5201198238811.

It is a happy number.

The square root of 1188328911025 is 1090105.

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 109688803249 + 1078640107776 = 331193^2 + 1038576^2 .

It is not a de Polignac number, because 1188328911025 - 29 = 1188328910513 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 1188328911025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5341515 + ... + 5559535.

Almost surely, 21188328911025 is an apocalyptic number.

1188328911025 is the 1090105-th square number.

1188328911025 is the 545053-rd centered octagonal number.

It is an amenable number.

1188328911025 is a deficient number, since it is larger than the sum of its proper divisors (285205697328).

1188328911025 is an frugal number, since it uses more digits than its factorization.

1188328911025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436052 (or 218026 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 49.

Multiplying 1188328911025 by its sum of digits (49), we get a square (58228116640225 = 76307352).

The spelling of 1188328911025 in words is "one trillion, one hundred eighty-eight billion, three hundred twenty-eight million, nine hundred eleven thousand, twenty-five".

Divisors: 1 5 25 218021 1090105 5450525 47533156441 237665782205 1188328911025