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2081853811917 = 3211371793175121
BaseRepresentation
bin11110010010111000001…
…010000010110011001101
321101000121222020022211200
4132102320022002303031
5233102114033440132
64232220200140113
7303260164266105
oct36227012026315
97330558208750
102081853811917
11732a00226230
12297588767639
1312141977a6c9
1472a9590c205
15392490d3d7c
hex1e4b8282ccd

2081853811917 has 48 divisors (see below), whose sum is σ = 3387982178880. Its totient is φ = 1220770137600.

The previous prime is 2081853811903. The next prime is 2081853811927. The reversal of 2081853811917 is 7191183581802.

2081853811917 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 8 + 538 + 11 + 91 + 7 = 666.

It is not a de Polignac number, because 2081853811917 - 216 = 2081853746381 is a prime.

It is a super-3 number, since 3×20818538119173 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081853811927) 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 47 ways as a sum of consecutive naturals, for example, 931884 + ... + 2243237.

It is an arithmetic number, because the mean of its divisors is an integer number (70582962060).

Almost surely, 22081853811917 is an apocalyptic number.

It is an amenable number.

2081853811917 is a deficient number, since it is larger than the sum of its proper divisors (1306128366963).

2081853811917 is a wasteful number, since it uses less digits than its factorization.

2081853811917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175354 (or 3175351 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 2081853811917 in words is "two trillion, eighty-one billion, eight hundred fifty-three million, eight hundred eleven thousand, nine hundred seventeen".

Divisors: 1 3 9 11 33 37 99 111 179 333 407 537 1221 1611 1969 3663 5907 6623 17721 19869 59607 72853 218559 655677 3175121 9525363 28576089 34926331 104778993 117479477 314336979 352438431 568346659 1057315293 1292274247 1705039977 3876822741 5115119931 6251813249 11630468223 18755439747 21028826383 56266319241 63086479149 189259437447 231317090213 693951270639 2081853811917