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12728107596 = 22331376611399
BaseRepresentation
bin10111101101010011…
…11000001001001100
31012212001011212012110
423312221320021030
5202031343420341
65502555304020
7630262062261
oct136651701114
935761155173
1012728107596
115441759696
12257274b010
13127ac65719
1488a5d1268
154e7646216
hex2f6a7824c

12728107596 has 96 divisors (see below), whose sum is σ = 31555686400. Its totient is φ = 3985977600.

The previous prime is 12728107589. The next prime is 12728107597. The reversal of 12728107596 is 69570182721.

12728107596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12728107597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9097305 + ... + 9098703.

Almost surely, 212728107596 is an apocalyptic number.

It is an amenable number.

12728107596 is an abundant number, since it is smaller than the sum of its proper divisors (18827578804).

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

12728107596 is a wasteful number, since it uses less digits than its factorization.

12728107596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 12728107596 in words is "twelve billion, seven hundred twenty-eight million, one hundred seven thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 111 124 148 186 222 372 444 661 1147 1322 1399 1983 2294 2644 2798 3441 3966 4197 4588 5596 6882 7932 8394 13764 16788 20491 24457 40982 43369 48914 51763 61473 73371 81964 86738 97828 103526 122946 130107 146742 155289 173476 207052 245892 260214 293484 310578 520428 621156 758167 924739 1516334 1604653 1849478 2274501 2774217 3032668 3209306 3698956 4549002 4813959 5548434 6418612 9098004 9627918 11096868 19255836 28666909 34215343 57333818 68430686 86000727 102646029 114667636 136861372 172001454 205292058 344002908 410584116 1060675633 2121351266 3182026899 4242702532 6364053798 12728107596