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2543234016 = 253236131879
BaseRepresentation
bin1001011110010110…
…1010101111100000
320120020112200012110
42113211222233200
520202031442031
61100210155320
7120011063301
oct22745525740
96506480173
102543234016
1110956533a4
125ab882b40
13316b88ccb
141a1aa67a8
15ed41ac46
hex9796abe0

2543234016 has 96 divisors (see below), whose sum is σ = 6981327360. Its totient is φ = 809132544.

The previous prime is 2543234009. The next prime is 2543234027. The reversal of 2543234016 is 6104323452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1352565 + ... + 1354443.

It is an arithmetic number, because the mean of its divisors is an integer number (72722160).

Almost surely, 22543234016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543234016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490663680).

2543234016 is an abundant number, since it is smaller than the sum of its proper divisors (4438093344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2543234016 is a wasteful number, since it uses less digits than its factorization.

2543234016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2543234016 is about 50430.4869696893. The cubic root of 2543234016 is about 1364.9878151041.

Adding to 2543234016 its reverse (6104323452), we get a palindrome (8647557468).

The spelling of 2543234016 in words is "two billion, five hundred forty-three million, two hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 613 736 1104 1226 1839 1879 2208 2452 3678 3758 4904 5637 7356 7516 9808 11274 14099 14712 15032 19616 22548 28198 29424 30064 42297 43217 45096 56396 58848 60128 84594 86434 90192 112792 129651 169188 172868 180384 225584 259302 338376 345736 451168 518604 676752 691472 1037208 1151827 1353504 1382944 2074416 2303654 3455481 4148832 4607308 6910962 9214616 13821924 18429232 26492021 27643848 36858464 52984042 55287696 79476063 105968084 110575392 158952126 211936168 317904252 423872336 635808504 847744672 1271617008 2543234016