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11770780071681 = 3229137329188133
BaseRepresentation
bin1010101101001001100100…
…1010100011011100000001
31112200021102220100021002200
42223102121022203130001
53020323024144243211
641011231031303413
72323260621533061
oct253223112433401
945607386307080
1011770780071681
113828a6153a014
1213a130a51ab69
13674c978018c7
142c99ccd113a1
151562b95aeb56
hexab4992a3701

11770780071681 has 24 divisors (see below), whose sum is σ = 17716905371880. Its totient is φ = 7521290439936.

The previous prime is 11770780071671. The next prime is 11770780071703. The reversal of 11770780071681 is 18617008707711.

It can be written as a sum of positive squares in 4 ways, for example, as 1757257779456 + 10013522292225 = 1325616^2 + 3164415^2 .

It is not a de Polignac number, because 11770780071681 - 27 = 11770780071553 is a prime.

It is a super-2 number, since 2×117707800716812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11770780071671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164558310 + ... + 164629823.

It is an arithmetic number, because the mean of its divisors is an integer number (738204390495).

Almost surely, 211770780071681 is an apocalyptic number.

It is an amenable number.

11770780071681 is a deficient number, since it is larger than the sum of its proper divisors (5946125300199).

11770780071681 is a wasteful number, since it uses less digits than its factorization.

11770780071681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329188305 (or 329188302 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 54.

The spelling of 11770780071681 in words is "eleven trillion, seven hundred seventy billion, seven hundred eighty million, seventy-one thousand, six hundred eighty-one".

Divisors: 1 3 9 29 87 137 261 411 1233 3973 11919 35757 329188133 987564399 2962693197 9546455857 28639367571 45098774221 85918102713 135296322663 405888967989 1307864452409 3923593357227 11770780071681