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20109225249 = 32472692
BaseRepresentation
bin10010101110100110…
…100110110100100001
31220220110001111010100
4102232212212310201
5312140430201444
613123230253013
71311216410601
oct225646466441
956813044110
1020109225249
11858a151623
123a92657169
131b861cb469
14d8a9d8c01
157ca643e69
hex4ae9a6d21

20109225249 has 9 divisors (see below), whose sum is σ = 29047273203. Its totient is φ = 13405866552.

The previous prime is 20109225137. The next prime is 20109225259. The reversal of 20109225249 is 94252290102.

The square root of 20109225249 is 141807.

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

20109225249 is a `hidden beast` number, since 2 + 0 + 109 + 22 + 524 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 245141649 + 19864083600 = 15657^2 + 140940^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 20109225249 - 27 = 20109225121 is a prime.

It is a super-2 number, since 2×201092252492 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20109225259) by changing a digit.

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, 401787 + ... + 449055.

Almost surely, 220109225249 is an apocalyptic number.

20109225249 is the 141807-th square number.

20109225249 is the 70904-th centered octagonal number.

It is an amenable number.

20109225249 is a deficient number, since it is larger than the sum of its proper divisors (8938047954).

20109225249 is an frugal number, since it uses more digits than its factorization.

20109225249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94544 (or 47272 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 20109225249 by its sum of digits (36), we get a square (723932108964 = 8508422).

The spelling of 20109225249 in words is "twenty billion, one hundred nine million, two hundred twenty-five thousand, two hundred forty-nine".

Divisors: 1 3 9 47269 141807 425421 2234358361 6703075083 20109225249