Search a number
-
+
67311110745 = 3251738646257
BaseRepresentation
bin111110101100000011…
…100000101001011001
320102202000201201020200
4332230003200221121
52100323121020440
650531114412413
74602014000244
oct765403405131
9212660651220
1067311110745
112660140484a
1211066431109
136469351218
14338787625b
151b3e522c30
hexfac0e0a59

67311110745 has 24 divisors (see below), whose sum is σ = 117347013576. Its totient is φ = 35691744768.

The previous prime is 67311110731. The next prime is 67311110753. The reversal of 67311110745 is 54701111376.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17423208009 + 49887902736 = 131997^2 + 223356^2 .

It is not a de Polignac number, because 67311110745 - 218 = 67310848601 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4315344 + ... + 4330913.

It is an arithmetic number, because the mean of its divisors is an integer number (4889458899).

Almost surely, 267311110745 is an apocalyptic number.

It is an amenable number.

67311110745 is a deficient number, since it is larger than the sum of its proper divisors (50035902831).

67311110745 is a wasteful number, since it uses less digits than its factorization.

67311110745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646441 (or 8646438 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 67311110745 in words is "sixty-seven billion, three hundred eleven million, one hundred ten thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 173 519 865 1557 2595 7785 8646257 25938771 43231285 77816313 129693855 389081565 1495802461 4487407383 7479012305 13462222149 22437036915 67311110745