Search a number
-
+
12769936610664 = 233532080692111
BaseRepresentation
bin1011100111010011101110…
…0010010001010101101000
31200012210102211122102120210
42321310323202101111220
53133210312233020124
643054232231421120
72455411635144102
oct271647342212550
950183384572523
1012769936610664
11408377733a192
121522a95b247a0
1371827a10b58c
143220d5318572
15172296c66a29
hexb9d3b891568

12769936610664 has 16 divisors (see below), whose sum is σ = 31924841526720. Its totient is φ = 4256645536880.

The previous prime is 12769936610623. The next prime is 12769936610671. The reversal of 12769936610664 is 46601663996721.

12769936610664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12769936610595 and 12769936610604.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266040346032 + ... + 266040346079.

It is an arithmetic number, because the mean of its divisors is an integer number (1995302595420).

Almost surely, 212769936610664 is an apocalyptic number.

It is an amenable number.

12769936610664 is an abundant number, since it is smaller than the sum of its proper divisors (19154904916056).

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

12769936610664 is a wasteful number, since it uses less digits than its factorization.

12769936610664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532080692120 (or 532080692116 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 66.

The spelling of 12769936610664 in words is "twelve trillion, seven hundred sixty-nine billion, nine hundred thirty-six million, six hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 532080692111 1064161384222 1596242076333 2128322768444 3192484152666 4256645536888 6384968305332 12769936610664