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12778493764 = 2229219492
BaseRepresentation
bin10111110011010100…
…00101011101000100
31012222112222202000211
423321222011131010
5202132243300024
65511555245204
7631443255601
oct137152053504
935875882024
1012778493764
115468143553
1225875a9804
13128852781a
148931896a8
154ebc9a594
hex2f9a85744

12778493764 has 27 divisors (see below), whose sum is σ = 23171959447. Its totient is φ = 6165762848.

The previous prime is 12778493759. The next prime is 12778493779. The reversal of 12778493764 is 46739487721.

The square root of 12778493764 is 113042.

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

12778493764 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 4 ways, for example, as 1525527364 + 11252966400 = 39058^2 + 106080^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12778493699 and 12778493708.

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 8 ways as a sum of consecutive naturals, for example, 6555462 + ... + 6557410.

Almost surely, 212778493764 is an apocalyptic number.

12778493764 is the 113042-nd square number.

It is an amenable number.

12778493764 is a deficient number, since it is larger than the sum of its proper divisors (10393465683).

12778493764 is an frugal number, since it uses more digits than its factorization.

12778493764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 1980 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 58.

The spelling of 12778493764 in words is "twelve billion, seven hundred seventy-eight million, four hundred ninety-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 29 58 116 841 1682 1949 3364 3898 7796 56521 113042 226084 1639109 3278218 3798601 6556436 7597202 15194404 110159429 220318858 440637716 3194623441 6389246882 12778493764