Search a number
-
+
67376065761 = 3415121912
BaseRepresentation
bin111110101111111011…
…010010110011100001
320102220112221202210000
4332233323102303201
52100441233101021
650541354530213
74603433052414
oct765773226341
9212815852700
1067376065761
112663503a484
1211084136969
136479944644
143392343b7b
151b450a3b26
hexfafed2ce1

67376065761 has 45 divisors (see below), whose sum is σ = 101852399649. Its totient is φ = 44386299000.

The previous prime is 67376065759. The next prime is 67376065769. The reversal of 67376065761 is 16756067376.

It is a happy number.

The square root of 67376065761 is 259569.

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

67376065761 is a `hidden beast` number, since 6 + 7 + 3 + 7 + 60 + 6 + 576 + 1 = 666.

It is not a de Polignac number, because 67376065761 - 21 = 67376065759 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67376065698 and 67376065707.

It is not an unprimeable number, because it can be changed into a prime (67376065769) 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 44 ways as a sum of consecutive naturals, for example, 352754176 + ... + 352754366.

Almost surely, 267376065761 is an apocalyptic number.

67376065761 is the 259569-th square number.

67376065761 is the 129785-th centered octagonal number.

It is an amenable number.

67376065761 is a deficient number, since it is larger than the sum of its proper divisors (34476333888).

67376065761 is an frugal number, since it uses more digits than its factorization.

67376065761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 67376065761 in words is "sixty-seven billion, three hundred seventy-six million, sixty-five thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 81 151 191 453 573 1359 1719 4077 5157 12231 15471 22801 28841 36481 68403 86523 109443 205209 259569 328329 615627 778707 984987 1846881 2336121 2954961 4354991 5508631 13064973 16525893 39194919 49577679 117584757 148733037 352754271 446199111 831803281 2495409843 7486229529 22458688587 67376065761