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16205664141 = 3341113353367
BaseRepresentation
bin11110001011110111…
…01100111110001101
31112211101211000222000
433011323230332031
5231142122223031
611240023342513
71112406605142
oct170573547615
945741730860
1016205664141
116966747367
1231832b1a39
1316b35746a4
14ada3ca3c9
1564cabd3e6
hex3c5eecf8d

16205664141 has 64 divisors (see below), whose sum is σ = 24949693440. Its totient is φ = 10389012480.

The previous prime is 16205664109. The next prime is 16205664179. The reversal of 16205664141 is 14146650261.

16205664141 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 5 + 6 + 641 + 4 + 1 = 666.

It is not a de Polignac number, because 16205664141 - 25 = 16205664109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16205664096 and 16205664105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16205664641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44156940 + ... + 44157306.

It is an arithmetic number, because the mean of its divisors is an integer number (389838960).

Almost surely, 216205664141 is an apocalyptic number.

It is an amenable number.

16205664141 is a deficient number, since it is larger than the sum of its proper divisors (8744029299).

16205664141 is a wasteful number, since it uses less digits than its factorization.

16205664141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16205664141 in words is "sixteen billion, two hundred five million, six hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 3 9 27 41 113 123 339 353 367 369 1017 1059 1101 1107 3051 3177 3303 4633 9531 9909 13899 14473 15047 39889 41471 41697 43419 45141 119667 124413 125091 129551 130257 135423 359001 373239 388653 390771 406269 1077003 1119717 1165959 1635449 1700311 3497877 4906347 5100933 5311591 14639263 14719041 15302799 15934773 43917789 44157123 45908397 47804319 131753367 143412957 395260101 600209783 1800629349 5401888047 16205664141