Search a number
-
+
12905743785764 = 2223313847364577
BaseRepresentation
bin1011101111001101101001…
…0001100001111100100100
31200200202222110210201211212
42323303122101201330210
53142421430402121024
643240452234450552
72501260235115104
oct273633221417444
950622873721755
1012905743785764
114126327a07985
121545277593a58
1372801113769b
143288d9b5b204
15175a94824a0e
hexbbcda461f24

12905743785764 has 12 divisors (see below), whose sum is σ = 22681983178764. Its totient is φ = 6425177163264.

The previous prime is 12905743785763. The next prime is 12905743785769. The reversal of 12905743785764 is 46758734750921.

It can be written as a sum of positive squares in 2 ways, for example, as 5637974811364 + 7267768974400 = 2374442^2 + 2695880^2 .

It is a super-3 number, since 3×129057437857643 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12905743785694 and 12905743785703.

It is not an unprimeable number, because it can be changed into a prime (12905743785763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6923681357 + ... + 6923683220.

It is an arithmetic number, because the mean of its divisors is an integer number (1890165264897).

It is a 1-persistent number, because it is pandigital, but 2⋅12905743785764 = 25811487571528 is not.

Almost surely, 212905743785764 is an apocalyptic number.

It is an amenable number.

12905743785764 is a deficient number, since it is larger than the sum of its proper divisors (9776239393000).

12905743785764 is a wasteful number, since it uses less digits than its factorization.

12905743785764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13847364814 (or 13847364812 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 68.

The spelling of 12905743785764 in words is "twelve trillion, nine hundred five billion, seven hundred forty-three million, seven hundred eighty-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 233 466 932 13847364577 27694729154 55389458308 3226435946441 6452871892882 12905743785764