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11196814225 = 52211632
BaseRepresentation
bin10100110110110000…
…11101001110010001
31001220022210002121011
422123120131032101
5140412341023400
65051014330521
7544316231152
oct123330351621
931808702534
1011196814225
114826345283
122205959a41
13109593787c
147830a3929
15457eb98ba
hex29b61d391

11196814225 has 9 divisors (see below), whose sum is σ = 13884705723. Its totient is φ = 8957028120.

The previous prime is 11196814201. The next prime is 11196814273. The reversal of 11196814225 is 52241869111.

The square root of 11196814225 is 105815.

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

11196814225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4030853121 + 7165961104 = 63489^2 + 84652^2 .

It is not a de Polignac number, because 11196814225 - 211 = 11196812177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 518494 + ... + 539656.

Almost surely, 211196814225 is an apocalyptic number.

11196814225 is the 105815-th square number.

11196814225 is the 52908-th centered octagonal number.

It is an amenable number.

11196814225 is a deficient number, since it is larger than the sum of its proper divisors (2687891498).

11196814225 is an frugal number, since it uses more digits than its factorization.

11196814225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42336 (or 21168 counting only the distinct ones).

The product of its digits is 34560, while the sum is 40.

The spelling of 11196814225 in words is "eleven billion, one hundred ninety-six million, eight hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 25 21163 105815 529075 447872569 2239362845 11196814225