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2523664341 = 3211193893449
BaseRepresentation
bin1001011001101100…
…0000111111010101
320111212201102122200
42112123000333111
520132024224331
61054230515113
7116352535662
oct22633007725
96455642580
102523664341
1110855a7410
125a5205a99
13312ac6713
1419d250a69
15eb8525e6
hex966c0fd5

2523664341 has 48 divisors (see below), whose sum is σ = 4197960000. Its totient is φ = 1444849920.

The previous prime is 2523664327. The next prime is 2523664343. The reversal of 2523664341 is 1434663252.

2523664341 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 6 + 643 + 4 + 1 = 666.

It is not a de Polignac number, because 2523664341 - 25 = 2523664309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2523664296 and 2523664305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523664343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729985 + ... + 733433.

It is an arithmetic number, because the mean of its divisors is an integer number (87457500).

Almost surely, 22523664341 is an apocalyptic number.

It is an amenable number.

2523664341 is a deficient number, since it is larger than the sum of its proper divisors (1674295659).

2523664341 is a wasteful number, since it uses less digits than its factorization.

2523664341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3871 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2523664341 is about 50236.0860437992. The cubic root of 2523664341 is about 1361.4776940542.

The spelling of 2523664341 in words is "two billion, five hundred twenty-three million, six hundred sixty-four thousand, three hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 389 627 1167 1881 3449 3501 4279 7391 10347 12837 22173 31041 37939 38511 65531 66519 81301 113817 196593 243903 341451 589779 720841 731709 1341661 2162523 4024983 6487569 12074949 14758271 25491559 44274813 76474677 132824439 229424031 280407149 841221447 2523664341