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2090819260192 = 2513411123109159
BaseRepresentation
bin11110011011001110100…
…010100000111100100000
321101212202210022021210111
4132123032202200330200
5233223444212311232
64240301544541104
7304025310323215
oct36331642407440
97355683267714
102090819260192
11736790a68213
1229926b181794
13122218020ca0
14732a64cbb0c
15395c1238047
hex1e6ce8a0f20

2090819260192 has 96 divisors (see below), whose sum is σ = 4545144696960. Its totient is φ = 940610119680.

The previous prime is 2090819260181. The next prime is 2090819260193. The reversal of 2090819260192 is 2910629180902.

It is not an unprimeable number, because it can be changed into a prime (2090819260193) 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 15 ways as a sum of consecutive naturals, for example, 19099309 + ... + 19208467.

It is an arithmetic number, because the mean of its divisors is an integer number (47345257260).

Almost surely, 22090819260192 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 2090819260192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272572348480).

2090819260192 is an abundant number, since it is smaller than the sum of its proper divisors (2454325436768).

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

2090819260192 is a wasteful number, since it uses less digits than its factorization.

2090819260192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110346 (or 110338 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

The spelling of 2090819260192 in words is "two trillion, ninety billion, eight hundred nineteen million, two hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1123 1312 2132 2246 4264 4492 8528 8984 14599 17056 17968 29198 35936 46043 58396 92086 109159 116792 184172 218318 233584 368344 436636 467168 598559 736688 873272 1197118 1419067 1473376 1746544 2394236 2838134 3493088 4475519 4788472 5676268 8951038 9576944 11352536 17902076 19153888 22705072 35804152 45410144 58181747 71608304 116363494 122585557 143216608 232726988 245171114 465453976 490342228 930907952 980684456 1593612241 1861815904 1961368912 3187224482 3922737824 5026007837 6374448964 10052015674 12748897928 20104031348 25497795856 40208062696 50995591712 65338101881 80416125392 130676203762 160832250784 261352407524 522704815048 1045409630096 2090819260192