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16543411434561 = 3114311163145007
BaseRepresentation
bin1111000010111101000000…
…1010010111010001000001
32011120112102210020212220210
43300233100022113101001
54132021401311401221
655103534401024333
73325136105006244
oct360572012272101
964515383225823
1016543411434561
1152a9026518210
121a322830250a9
139300633b5c6b
144129c381525b
151da4eac5b276
hexf0bd0297441

16543411434561 has 16 divisors (see below), whose sum is σ = 24118974885888. Its totient is φ = 10003047051600.

The previous prime is 16543411434533. The next prime is 16543411434577.

It is a happy number.

16543411434561 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16543411434561 - 218 = 16543411172417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16543411434561.

It is not an unprimeable number, because it can be changed into a prime (16543411434961) 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 15 ways as a sum of consecutive naturals, for example, 581558281 + ... + 581586726.

It is an arithmetic number, because the mean of its divisors is an integer number (1507435930368).

Almost surely, 216543411434561 is an apocalyptic number.

16543411434561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16543411434561 is a deficient number, since it is larger than the sum of its proper divisors (7575563451327).

16543411434561 is a wasteful number, since it uses less digits than its factorization.

16543411434561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163145452.

The product of its digits is 2073600, while the sum is 48.

The spelling of 16543411434561 in words is "sixteen trillion, five hundred forty-three billion, four hundred eleven million, four hundred thirty-four thousand, five hundred sixty-one".

Divisors: 1 3 11 33 431 1293 4741 14223 1163145007 3489435021 12794595077 38383785231 501315498017 1503946494051 5514470478187 16543411434561