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2681884249 = 1117234713267
BaseRepresentation
bin1001111111011010…
…0100111001011001
320220220102211120021
42133312210321121
520443030243444
61122042030441
7123313432342
oct23766447131
96826384507
102681884249
111156943370
1262a1a8421
13339812b75
141b62790c9
1510a6a7584
hex9fda4e59

2681884249 has 32 divisors (see below), whose sum is σ = 3301502976. Its totient is φ = 2148030720.

The previous prime is 2681884237. The next prime is 2681884267. The reversal of 2681884249 is 9424881862.

It is not a de Polignac number, because 2681884249 - 223 = 2673495641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2681884196 and 2681884205.

It is not an unprimeable number, because it can be changed into a prime (2681887249) 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 31 ways as a sum of consecutive naturals, for example, 195514 + ... + 208780.

It is an arithmetic number, because the mean of its divisors is an integer number (103171968).

Almost surely, 22681884249 is an apocalyptic number.

It is an amenable number.

2681884249 is a deficient number, since it is larger than the sum of its proper divisors (619618727).

2681884249 is a wasteful number, since it uses less digits than its factorization.

2681884249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365.

The product of its digits is 1769472, while the sum is 52.

The square root of 2681884249 is about 51786.9119469389. The cubic root of 2681884249 is about 1389.3553674620.

The spelling of 2681884249 in words is "two billion, six hundred eighty-one million, eight hundred eighty-four thousand, two hundred forty-nine".

Divisors: 1 11 17 23 47 187 253 391 517 799 1081 4301 8789 11891 13267 18377 145937 202147 225539 305141 623549 2480929 3356551 5187397 6859039 10600333 14341627 57061367 116603663 157757897 243807659 2681884249