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102406582207449 = 3213875269933397
BaseRepresentation
bin10111010010001101100011…
…111101001000001111011001
3111102120222021210022112101200
4113102031203331020033121
5101410312140021114244
61001444533455304413
730366426400322442
oct2722154375101731
9442528253275350
10102406582207449
112a6a2429a16223
12b59b0b921b109
13451ab8c8c0550
141b4070db082c9
15bc8c6be84669
hex5d2363f483d9

102406582207449 has 12 divisors (see below), whose sum is σ = 159299127878436. Its totient is φ = 63019435204512.

The previous prime is 102406582207403. The next prime is 102406582207487. The reversal of 102406582207449 is 944702285604201.

102406582207449 is a `hidden beast` number, since 1 + 0 + 2 + 40 + 65 + 82 + 20 + 7 + 449 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13751043897600 + 88655538309849 = 3708240^2 + 9415707^2 .

It is not a de Polignac number, because 102406582207449 - 29 = 102406582206937 is a prime.

It is a super-2 number, since 2×1024065822074492 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102406582207395 and 102406582207404.

It is not an unprimeable number, because it can be changed into a prime (102406582207049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437634966582 + ... + 437634966815.

It is an arithmetic number, because the mean of its divisors is an integer number (13274927323203).

Almost surely, 2102406582207449 is an apocalyptic number.

It is an amenable number.

102406582207449 is a deficient number, since it is larger than the sum of its proper divisors (56892545670987).

102406582207449 is a wasteful number, since it uses less digits than its factorization.

102406582207449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875269933416 (or 875269933413 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 102406582207449 in words is "one hundred two trillion, four hundred six billion, five hundred eighty-two million, two hundred seven thousand, four hundred forty-nine".

Divisors: 1 3 9 13 39 117 875269933397 2625809800191 7877429400573 11378509134161 34135527402483 102406582207449