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12735435536 = 241033770537
BaseRepresentation
bin10111101110001011…
…10101001100010000
31012212112222011020122
423313011311030100
5202040232414121
65503420325412
7630411262445
oct136705651420
935775864218
1012735435536
11544590423a
1225750a3868
13127c62cc95
1488b57b9cc
154e80e25ab
hex2f7175310

12735435536 has 20 divisors (see below), whose sum is σ = 24698825052. Its totient is φ = 6361545216.

The previous prime is 12735435527. The next prime is 12735435541. The reversal of 12735435536 is 63553453721.

It is a happy number.

12735435536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12043745536 + 691690000 = 109744^2 + 26300^2 .

It is a super-2 number, since 2×127354355362 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 368741 + ... + 401796.

Almost surely, 212735435536 is an apocalyptic number.

12735435536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12735435536 is a deficient number, since it is larger than the sum of its proper divisors (11963389516).

12735435536 is a wasteful number, since it uses less digits than its factorization.

12735435536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771578 (or 771572 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 44.

The spelling of 12735435536 in words is "twelve billion, seven hundred thirty-five million, four hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 1033 2066 4132 8264 16528 770537 1541074 3082148 6164296 12328592 795964721 1591929442 3183858884 6367717768 12735435536