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543161161345 = 511431789128377
BaseRepresentation
bin1111110011101101110…
…11011001011010000001
31220220222211112212212211
413321312323121122001
532344343224130340
61053305204422121
754146016460105
oct7716673313201
91826884485784
10543161161345
1119a398351880
12893276a7941
133c2b20c0aba
141c409589905
15e1dede55ea
hex7e76ed9681

543161161345 has 32 divisors (see below), whose sum is σ = 727995692160. Its totient is φ = 385620963840.

The previous prime is 543161161343. The next prime is 543161161349.

It is a happy number.

543161161345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 543161161345 - 21 = 543161161343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 543161161298 and 543161161307.

It is not an unprimeable number, because it can be changed into a prime (543161161343) 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 31 ways as a sum of consecutive naturals, for example, 4166797 + ... + 4295173.

It is an arithmetic number, because the mean of its divisors is an integer number (22749865380).

Almost surely, 2543161161345 is an apocalyptic number.

543161161345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543161161345 is a deficient number, since it is larger than the sum of its proper divisors (184834530815).

543161161345 is a wasteful number, since it uses less digits than its factorization.

543161161345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130225.

The product of its digits is 129600, while the sum is 40.

The spelling of 543161161345 in words is "five hundred forty-three billion, one hundred sixty-one million, one hundred sixty-one thousand, three hundred forty-five".

Divisors: 1 5 11 43 55 215 473 1789 2365 8945 19679 76927 98395 128377 384635 641885 846197 1412147 4230985 5520211 7060735 27601055 60722321 229666453 303611605 1148332265 2526330983 9875657479 12631654915 49378287395 108632232269 543161161345