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541516611666661 = 171011931634120881
BaseRepresentation
bin111101100100000011010100…
…1010001110100001011100101
32122000100111000201220220011221
41323020012221101310023211
51031434202010041313121
65155413144101300341
7222030166310500141
oct17310065121641345
92560314021826157
10541516611666661
111475a89a5a82264
12508996697046b1
131a320a49a7cbb7
1497a1788476221
15429115302eb41
hex1ec81a94742e5

541516611666661 has 16 divisors (see below), whose sum is σ = 582047712234288. Its totient is φ = 502001934336000.

The previous prime is 541516611666647. The next prime is 541516611666781. The reversal of 541516611666661 is 166666116615145.

It can be written as a sum of positive squares in 8 ways, for example, as 20801179410561 + 520715432256100 = 4560831^2 + 22819190^2 .

It is a cyclic number.

It is not a de Polignac number, because 541516611666661 - 237 = 541379172713189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 541516611666661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541516611616661) 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 15 ways as a sum of consecutive naturals, for example, 816729060 + ... + 817391821.

It is an arithmetic number, because the mean of its divisors is an integer number (36377982014643).

Almost surely, 2541516611666661 is an apocalyptic number.

It is an amenable number.

541516611666661 is a deficient number, since it is larger than the sum of its proper divisors (40531100567627).

541516611666661 is a wasteful number, since it uses less digits than its factorization.

541516611666661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634121192.

The product of its digits is 27993600, while the sum is 61.

The spelling of 541516611666661 in words is "five hundred forty-one trillion, five hundred sixteen billion, six hundred eleven million, six hundred sixty-six thousand, six hundred sixty-one".

Divisors: 1 17 101 193 1717 3281 19493 331381 1634120881 27780054977 165046208981 315385330033 2805785552677 5361550610561 31853918333333 541516611666661