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2806323859424 = 25294377899029
BaseRepresentation
bin101000110101100101111…
…011111100111111100000
3100221021121112102221020102
4220311211323330333200
5331434322402000144
65545112443401532
7406515215140031
oct50654573747740
910837545387212
102806323859424
11992178726788
12393a742232a8
1317483470c5a7
1499b80a48a88
154ceeb57ab4e
hex28d65efcfe0

2806323859424 has 96 divisors (see below), whose sum is σ = 5849782092000. Its totient is φ = 1322954164224.

The previous prime is 2806323859399. The next prime is 2806323859433. The reversal of 2806323859424 is 4249583236082.

It is a super-2 number, since 2×28063238594242 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2806323859424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310807742 + ... + 310816770.

It is an arithmetic number, because the mean of its divisors is an integer number (60935230125).

Almost surely, 22806323859424 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 2806323859424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924891046000).

2806323859424 is an abundant number, since it is smaller than the sum of its proper divisors (3043458232576).

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

2806323859424 is a wasteful number, since it uses less digits than its factorization.

2806323859424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16900 (or 16892 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 56.

The spelling of 2806323859424 in words is "two trillion, eight hundred six billion, three hundred twenty-three million, eight hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 344 464 688 928 1247 1376 2494 4988 7789 9029 9976 15578 18058 19952 31156 36116 39904 62312 72232 124624 144464 225881 249248 261841 288928 334927 388247 451762 523682 669854 776494 903524 1047364 1339708 1552988 1807048 2094728 2679416 3105976 3614096 4189456 5358832 6211952 7228192 8378912 9712883 10717664 11259163 12423904 19425766 22518326 38851532 45036652 70326881 77703064 90073304 140653762 155406128 180146608 281307524 310812256 360293216 562615048 1125230096 2039479549 2250460192 3024055883 4078959098 6048111766 8157918196 12096223532 16315836392 24192447064 32631672784 48384894128 65263345568 87697620607 96769788256 175395241214 350790482428 701580964856 1403161929712 2806323859424