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2166126468 = 22311174432179
BaseRepresentation
bin1000000100011100…
…0111011110000100
312120221221121220020
42001013013132010
513414012021333
6554535335140
7104451525342
oct20107073604
95527847806
102166126468
11a117a3970
125055214b0
13286a0154c
14167980992
15ca27a3b3
hex811c7784

2166126468 has 96 divisors (see below), whose sum is σ = 5853980160. Its totient is φ = 616112640.

The previous prime is 2166126467. The next prime is 2166126509. The reversal of 2166126468 is 8646216612.

It is not an unprimeable number, because it can be changed into a prime (2166126461) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 993003 + ... + 995181.

It is an arithmetic number, because the mean of its divisors is an integer number (60978960).

Almost surely, 22166126468 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 2166126468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926990080).

2166126468 is an abundant number, since it is smaller than the sum of its proper divisors (3687853692).

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

2166126468 is a wasteful number, since it uses less digits than its factorization.

2166126468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2655 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 2166126468 is about 46541.6637863323. The cubic root of 2166126468 is about 1293.8817969678.

The spelling of 2166126468 in words is "two billion, one hundred sixty-six million, one hundred twenty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 443 561 748 886 1122 1329 1772 2179 2244 2658 4358 4873 5316 6537 7531 8716 9746 13074 14619 15062 19492 22593 23969 26148 29238 30124 37043 45186 47938 58476 71907 74086 82841 90372 95876 111129 143814 148172 165682 222258 248523 287628 331364 407473 444516 497046 814946 965297 994092 1222419 1629892 1930594 2444838 2895891 3861188 4889676 5791782 10618267 11583564 16410049 21236534 31854801 32820098 42473068 49230147 63709602 65640196 98460294 127419204 180510539 196920588 361021078 541531617 722042156 1083063234 2166126468