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11152416025 = 52211212
BaseRepresentation
bin10100110001011110…
…00101110100011001
31001210020020102201101
422120233011310121
5140320004303100
65042350551401
7543236654302
oct123057056431
931706212641
1011152416025
114803280253
1221b2b08561
13108969114a
1477b2277a9
1545414986a
hex298bc5d19

11152416025 has 9 divisors (see below), whose sum is σ = 13829650653. Its totient is φ = 8921510400.

The previous prime is 11152415977. The next prime is 11152416031. The reversal of 11152416025 is 52061425111.

The square root of 11152416025 is 105605.

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

11152416025 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 4 ways, for example, as 111450249 + 11040965776 = 10557^2 + 105076^2 .

It is not a de Polignac number, because 11152416025 - 215 = 11152383257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11152415984 and 11152416002.

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, 517465 + ... + 538585.

Almost surely, 211152416025 is an apocalyptic number.

11152416025 is the 105605-th square number.

11152416025 is the 52803-rd centered octagonal number.

It is an amenable number.

11152416025 is a deficient number, since it is larger than the sum of its proper divisors (2677234628).

11152416025 is an frugal number, since it uses more digits than its factorization.

11152416025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42252 (or 21126 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 11152416025 in words is "eleven billion, one hundred fifty-two million, four hundred sixteen thousand, twenty-five".

Divisors: 1 5 25 21121 105605 528025 446096641 2230483205 11152416025