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20295412431849 = 3215016812
BaseRepresentation
bin1001001110101011001001…
…10110010011101111101001
32122212020000012001220222100
410213111210312103233221
510130010001040304344
6111055330031444013
74163203145200062
oct447254466235751
978766005056870
1020295412431849
1165152662434a5
122339478686609
13b42b06858a79
14502435dbb569
15252de490a569
hex127564d93be9

20295412431849 has 9 divisors (see below), whose sum is σ = 29315615256759. Its totient is φ = 13530265944480.

The previous prime is 20295412431829. The next prime is 20295412431937. The reversal of 20295412431849 is 94813421459202.

The square root of 20295412431849 is 4505043.

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

20295412431849 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 5 + 412 + 43 + 184 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18190591791849 + 2104820640000 = 4265043^2 + 1450800^2 .

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

It is not a de Polignac number, because 20295412431849 - 29 = 20295412431337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20295412431795 and 20295412431804.

It is not an unprimeable number, because it can be changed into a prime (20295412431829) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12764289 + ... + 14265969.

Almost surely, 220295412431849 is an apocalyptic number.

20295412431849 is the 4505043-rd square number.

20295412431849 is the 2252522-nd centered octagonal number.

It is an amenable number.

20295412431849 is a deficient number, since it is larger than the sum of its proper divisors (9020202824910).

20295412431849 is an frugal number, since it uses more digits than its factorization.

20295412431849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003368 (or 1501684 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20295412431849 in words is "twenty trillion, two hundred ninety-five billion, four hundred twelve million, four hundred thirty-one thousand, eight hundred forty-nine".

Divisors: 1 3 9 1501681 4505043 13515129 2255045825761 6765137477283 20295412431849