Search a number
-
+
68068148733 = 32131734222297
BaseRepresentation
bin111111011001001011…
…011000010111111101
320111200210020020010200
4333121023120113331
52103400421224413
651134200354113
74626535501134
oct773113302775
9214623206120
1068068148733
112695a771682
1211237a75939
13655a1412b0
14341a21a91b
151b85c10573
hexfd92d85fd

68068148733 has 24 divisors (see below), whose sum is σ = 112112248248. Its totient is φ = 39424084992.

The previous prime is 68068148719. The next prime is 68068148741. The reversal of 68068148733 is 33784186086.

68068148733 is a `hidden beast` number, since 6 + 80 + 6 + 81 + 487 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1835008569 + 66233140164 = 42837^2 + 257358^2 .

It is not a de Polignac number, because 68068148733 - 29 = 68068148221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 68068148733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68068148713) 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 23 ways as a sum of consecutive naturals, for example, 17109160 + ... + 17113137.

It is an arithmetic number, because the mean of its divisors is an integer number (4671343677).

Almost surely, 268068148733 is an apocalyptic number.

It is an amenable number.

68068148733 is a deficient number, since it is larger than the sum of its proper divisors (44044099515).

68068148733 is a wasteful number, since it uses less digits than its factorization.

68068148733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34222333 (or 34222330 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 68068148733 in words is "sixty-eight billion, sixty-eight million, one hundred forty-eight thousand, seven hundred thirty-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 34222297 102666891 308000673 444889861 581779049 1334669583 1745337147 4004008749 5236011441 7563127637 22689382911 68068148733