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2096524451844 = 223425723132
BaseRepresentation
bin11110100000100010100…
…110000110000000000100
321102102111101122001110000
4132200202212012000010
5233322140224424334
64243044031001300
7304316554544064
oct36404246060004
97372441561400
102096524451844
11739149440139
1229a3a1969230
13122916cb9034
14736880b93a4
153980703a299
hex1e822986004

2096524451844 has 135 divisors (see below), whose sum is σ = 5519772696207. Its totient is φ = 693898223616.

The previous prime is 2096524451821. The next prime is 2096524451863. The reversal of 2096524451844 is 4481544256902.

The square root of 2096524451844 is 1447938.

It is a perfect power (a square), and thus also a powerful number.

2096524451844 is a `hidden beast` number, since 2 + 0 + 9 + 65 + 24 + 4 + 518 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4220061444 + 2092304390400 = 64962^2 + 1446480^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6698161032 + ... + 6698161344.

Almost surely, 22096524451844 is an apocalyptic number.

2096524451844 is the 1447938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2096524451844

2096524451844 is an abundant number, since it is smaller than the sum of its proper divisors (3423248244363).

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

2096524451844 is an frugal number, since it uses more digits than its factorization.

2096524451844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

It can be divided in two parts, 20965 and 24451844, that added together give a square (24472809 = 49472).

The spelling of 2096524451844 in words is "two trillion, ninety-six billion, five hundred twenty-four million, four hundred fifty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 257 313 324 514 626 771 939 1028 1252 1542 1878 2313 2817 3084 3756 4626 5634 6939 8451 9252 11268 13878 16902 20817 25353 27756 33804 41634 50706 66049 80441 83268 97969 101412 132098 160882 195938 198147 241323 264196 293907 321764 391876 396294 482646 587814 594441 723969 792588 881721 965292 1175628 1188882 1447938 1763442 1783323 2171907 2377764 2645163 2895876 3526884 3566646 4343814 5290326 5349969 6515721 7133292 7935489 8687628 10580652 10699938 13031442 15870978 20673337 21399876 25178033 26062884 31741956 41346674 50356066 62020011 75534099 82693348 100712132 124040022 151068198 186060033 226602297 248080044 302136396 372120066 453204594 558180099 679806891 744240132 906409188 1116360198 1359613782 1674540297 2039420673 2232720396 2719227564 3349080594 4078841346 6470754481 6698161188 8157682692 12941508962 19412263443 25883017924 38824526886 58236790329 77649053772 116473580658 174710370987 232947161316 349420741974 524131112961 698841483948 1048262225922 2096524451844