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10082673652 = 2261891014597
BaseRepresentation
bin10010110001111100…
…10110001111110100
3222000200022220001111
421120332112033310
5131122131024102
64344254404404
7504600212002
oct113076261764
928020286044
1010082673652
114304451a47
121b54800704
13c48b757ac
146b9123a72
153e028dcd7
hex258f963f4

10082673652 has 48 divisors (see below), whose sum is σ = 18318983760. Its totient is φ = 4853376000.

The previous prime is 10082673611. The next prime is 10082673659. The reversal of 10082673652 is 25637628001.

It can be written as a sum of positive squares in 8 ways, for example, as 1764504036 + 8318169616 = 42006^2 + 91204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082673659) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2191018 + ... + 2195614.

It is an arithmetic number, because the mean of its divisors is an integer number (381645495).

Almost surely, 210082673652 is an apocalyptic number.

It is an amenable number.

10082673652 is a deficient number, since it is larger than the sum of its proper divisors (8236310108).

10082673652 is a wasteful number, since it uses less digits than its factorization.

10082673652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10082673652 in words is "ten billion, eighty-two million, six hundred seventy-three thousand, six hundred fifty-two".

Divisors: 1 2 4 61 89 101 122 178 202 244 356 404 4597 5429 6161 8989 9194 10858 12322 17978 18388 21716 24644 35956 280417 409133 464297 548329 560834 818266 928594 1096658 1121668 1636532 1857188 2193316 24957113 28322117 41322433 49914226 56644234 82644866 99828452 113288468 165289732 2520668413 5041336826 10082673652