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4082206079809 = 1121327121992
BaseRepresentation
bin111011011001110110011…
…100010111101101000001
3112110020212221221020111201
4323121312130113231001
51013340324224023214
612403201203341201
7600633605105224
oct73316634275501
915406787836451
104082206079809
111334287a00100
1255b1aa681801
13237c47cb0300
141018190995bb
15712c2e97274
hex3b676717b41

4082206079809 has 81 divisors (see below), whose sum is σ = 4953047663907. Its totient is φ = 3360407450400.

The previous prime is 4082206079807. The next prime is 4082206079921. The reversal of 4082206079809 is 9089706022804.

The square root of 4082206079809 is 2020447.

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

It can be written as a sum of positive squares in only one way, i.e., 603876639025 + 3478329440784 = 777095^2 + 1865028^2 .

It is not a de Polignac number, because 4082206079809 - 21 = 4082206079807 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4082206079809.

It is not an unprimeable number, because it can be changed into a prime (4082206079801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20513598292 + ... + 20513598490.

Almost surely, 24082206079809 is an apocalyptic number.

4082206079809 is the 2020447-th square number.

4082206079809 is the 1010224-th centered octagonal number.

It is an amenable number.

4082206079809 is a deficient number, since it is larger than the sum of its proper divisors (870841584098).

4082206079809 is an equidigital number, since it uses as much as digits as its factorization.

4082206079809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 4082206079809 in words is "four trillion, eighty-two billion, two hundred six million, seventy-nine thousand, eight hundred nine".

Divisors: 1 11 13 71 121 143 169 199 781 923 1573 1859 2189 2587 5041 8591 10153 11999 14129 20449 24079 28457 33631 39601 55451 65533 111683 131989 155419 183677 313027 369941 435611 514813 609961 720863 851929 1003159 1451879 1709609 2020447 2387801 2811671 4069351 4791721 5662943 6692569 7929493 9371219 11034749 13041067 22224917 26265811 30928381 36551723 62292373 73618259 103083409 121382239 143451737 169533871 199628641 288923921 340212191 402068953 475172399 809800849 1577969107 1864872581 2195915051 2595172333 4422758483 5226896389 20513598391 24155065561 28546895663 33737240329 57495860279 314015852293 371109643619 4082206079809