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2001786092896 = 251923617232007
BaseRepresentation
bin11101001000010011101…
…111111011110101100000
321002100221220200202210211
4131020103233323311200
5230244124214433041
64131335143103504
7264424061021002
oct35102357736540
97070856622724
102001786092896
11701a53076917
12283b62141b94
131169c95c5385
146cc5bb86372
153710ebda481
hex1d213bfbd60

2001786092896 has 96 divisors (see below), whose sum is σ = 4335839746560. Its totient is φ = 905513849856.

The previous prime is 2001786092881. The next prime is 2001786092899. The reversal of 2001786092896 is 6982906871002.

It is a self number, because there is not a number n which added to its sum of digits gives 2001786092896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001786092899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8512125 + ... + 8744131.

It is an arithmetic number, because the mean of its divisors is an integer number (45164997360).

Almost surely, 22001786092896 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 2001786092896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167919873280).

2001786092896 is an abundant number, since it is smaller than the sum of its proper divisors (2334053653664).

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

2001786092896 is a wasteful number, since it uses less digits than its factorization.

2001786092896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232676 (or 232668 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 2001786092896 in words is "two trillion, one billion, seven hundred eighty-six million, ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 617 736 874 1234 1748 2468 3496 4936 6992 9872 11723 13984 14191 19744 23446 28382 46892 56764 93784 113528 187568 227056 232007 269629 375136 454112 464014 539258 928028 1078516 1856056 2157032 3712112 4314064 4408133 5336161 7424224 8628128 8816266 10672322 17632532 21344644 35265064 42689288 70530128 85378576 101387059 141060256 143148319 170757152 202774118 286296638 405548236 572593276 811096472 1145186552 1622192944 2290373104 2719818061 3244385888 3292411337 4580746208 5439636122 6584822674 10879272244 13169645348 21758544488 26339290696 43517088976 52678581392 62555815403 87034177952 105357162784 125111630806 250223261612 500446523224 1000893046448 2001786092896