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2684190935072 = 251710148853213
BaseRepresentation
bin100111000011110110001…
…111110100100000100000
3100111121100212210112120202
4213003312033310200200
5322434210334410242
65413033355124332
7364632516332213
oct47036617644040
910447325715522
102684190935072
119453a4895a69
1237426a1436a8
1316616c67a30a
1493cb632577a
1549c4e207932
hex270f63f4820

2684190935072 has 48 divisors (see below), whose sum is σ = 5650753556952. Its totient is φ = 1250642227200.

The previous prime is 2684190935059. The next prime is 2684190935087. The reversal of 2684190935072 is 2705390914862.

It can be written as a sum of positive squares in 4 ways, for example, as 2503977100816 + 180213834256 = 1582396^2 + 424516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2684190934999 and 2684190935017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24371663 + ... + 24481550.

It is a 1-persistent number, because it is pandigital, but 2⋅2684190935072 = 5368381870144 is not.

Almost surely, 22684190935072 is an apocalyptic number.

It is an amenable number.

2684190935072 is an abundant number, since it is smaller than the sum of its proper divisors (2966562621880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2684190935072 is a wasteful number, since it uses less digits than its factorization.

2684190935072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48853341 (or 48853333 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 2684190935072 in words is "two trillion, six hundred eighty-four billion, one hundred ninety million, nine hundred thirty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 272 404 544 808 1616 1717 3232 3434 6868 13736 27472 54944 48853213 97706426 195412852 390825704 781651408 830504621 1563302816 1661009242 3322018484 4934174513 6644036968 9868349026 13288073936 19736698052 26576147872 39473396104 78946792208 83880966721 157893584416 167761933442 335523866884 671047733768 1342095467536 2684190935072