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66542244641 = 2931211318749
BaseRepresentation
bin111101111110001110…
…100001001100100001
320100202102222021020022
4331332032201030201
52042234303312031
650322531123225
74543656514145
oct757616411441
9210672867208
1066542244641
11262473a9314
1210a90a43515
136375c7c472
1433136d3225
151ae6c9a97b
hexf7e3a1321

66542244641 has 8 divisors (see below), whose sum is σ = 66778425000. Its totient is φ = 66306126592.

The previous prime is 66542244617. The next prime is 66542244647. The reversal of 66542244641 is 14644224566.

It can be written as a sum of positive squares in 4 ways, for example, as 23869014016 + 42673230625 = 154496^2 + 206575^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66542244641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66542244592 and 66542244601.

It is not an unprimeable number, because it can be changed into a prime (66542244647) 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 7 ways as a sum of consecutive naturals, for example, 3539735 + ... + 3558483.

It is an arithmetic number, because the mean of its divisors is an integer number (8347303125).

Almost surely, 266542244641 is an apocalyptic number.

It is an amenable number.

66542244641 is a deficient number, since it is larger than the sum of its proper divisors (236180359).

66542244641 is a wasteful number, since it uses less digits than its factorization.

66542244641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31155.

The product of its digits is 1105920, while the sum is 44.

The spelling of 66542244641 in words is "sixty-six billion, five hundred forty-two million, two hundred forty-four thousand, six hundred forty-one".

Divisors: 1 293 12113 18749 3549109 5493457 227106637 66542244641