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2081837326968 = 233377611809299
BaseRepresentation
bin11110010010110111001…
…011001010001001111000
321101000120211012210202000
4132102313023022021320
5233102100323430333
64232214410541000
7303256604210040
oct36226713121170
97330524183660
102081837326968
117329a1996903
12297583137760
131214162281b9
1472a9365a720
1539247929713
hex1e4b72ca278

2081837326968 has 128 divisors (see below), whose sum is σ = 6617695680000. Its totient is φ = 594028719360.

The previous prime is 2081837326967. The next prime is 2081837326997. The reversal of 2081837326968 is 8696237381802.

2081837326968 is a `hidden beast` number, since 208 + 18 + 3 + 7 + 326 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081837326963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245983 + ... + 2055281.

It is an arithmetic number, because the mean of its divisors is an integer number (51700747500).

Almost surely, 22081837326968 is an apocalyptic number.

2081837326968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081837326968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308847840000).

2081837326968 is an abundant number, since it is smaller than the sum of its proper divisors (4535858353032).

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

2081837326968 is a wasteful number, since it uses less digits than its factorization.

2081837326968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810082 (or 1810072 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2081837326968 in words is "two trillion, eighty-one billion, eight hundred thirty-seven million, three hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 761 1512 1522 2283 3044 4566 5327 6088 6849 9132 10654 13698 15981 18264 20547 21308 27396 31962 41094 42616 47943 54792 63924 82188 95886 127848 143829 164376 191772 287658 383544 575316 1150632 1809299 3618598 5427897 7237196 10855794 12665093 14474392 16283691 21711588 25330186 32567382 37995279 43423176 48851073 50660372 65134764 75990558 97702146 101320744 113985837 130269528 151981116 195404292 227971674 303962232 341957511 390808584 455943348 683915022 911886696 1367830044 1376876539 2735660088 2753753078 4130629617 5507506156 8261259234 9638135773 11015012312 12391888851 16522518468 19276271546 24783777702 28914407319 33045036936 37175666553 38552543092 49567555404 57828814638 74351333106 77105086184 86743221957 99135110808 115657629276 148702666212 173486443914 231315258552 260229665871 297405332424 346972887828 520459331742 693945775656 1040918663484 2081837326968