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11736472225 = 524724612
BaseRepresentation
bin10101110111000110…
…00101101010100001
31010021221020120012111
422323203011222201
5143014014102400
65220333155321
7563561240122
oct127343055241
933257216174
1011736472225
114a82a29325
12233662bb41
13115069692a
147d4a20049
1548a5683ba
hex2bb8c5aa1

11736472225 has 27 divisors (see below), whose sum is σ = 14901781561. Its totient is φ = 9169474400.

The previous prime is 11736472217. The next prime is 11736472247. The reversal of 11736472225 is 52227463711.

The square root of 11736472225 is 108335.

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

11736472225 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 1199860321 + 10536611904 = 34639^2 + 102648^2 .

It is not a de Polignac number, because 11736472225 - 23 = 11736472217 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 26 ways as a sum of consecutive naturals, for example, 25458495 + ... + 25458955.

Almost surely, 211736472225 is an apocalyptic number.

11736472225 is the 108335-th square number.

11736472225 is the 54168-th centered octagonal number.

It is an amenable number.

11736472225 is a deficient number, since it is larger than the sum of its proper divisors (3165309336).

11736472225 is an frugal number, since it uses more digits than its factorization.

11736472225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 513 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The spelling of 11736472225 in words is "eleven billion, seven hundred thirty-six million, four hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 25 47 235 461 1175 2209 2305 11045 11525 21667 55225 108335 212521 541675 1018349 1062605 5091745 5313025 9988487 25458725 49942435 249712175 469458889 2347294445 11736472225