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20065128867 = 337417379449
BaseRepresentation
bin10010101011111110…
…011001000110100011
31220210101002011021000
4102223332121012203
5312043133110432
613115013203043
71310142531660
oct225376310643
956711064230
1020065128867
118567273333
123a7b930483
131b7a02c224
14d84bdaa67
157c683357c
hex4abf991a3

20065128867 has 128 divisors (see below), whose sum is σ = 35804160000. Its totient is φ = 10868981760.

The previous prime is 20065128841. The next prime is 20065128871. The reversal of 20065128867 is 76882156002.

It is not a de Polignac number, because 20065128867 - 215 = 20065096099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20065128827) 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 127 ways as a sum of consecutive naturals, for example, 44688259 + ... + 44688707.

It is an arithmetic number, because the mean of its divisors is an integer number (279720000).

Almost surely, 220065128867 is an apocalyptic number.

20065128867 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20065128867 is a deficient number, since it is larger than the sum of its proper divisors (15739031133).

20065128867 is a wasteful number, since it uses less digits than its factorization.

20065128867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20065128867 in words is "twenty billion, sixty-five million, one hundred twenty-eight thousand, eight hundred sixty-seven".

Divisors: 1 3 7 9 21 27 41 63 73 79 123 189 219 237 287 369 449 511 553 657 711 861 1107 1347 1533 1659 1971 2133 2583 2993 3143 3239 4041 4599 4977 5767 7749 8979 9429 9717 12123 13797 14931 17301 18409 20951 22673 26937 28287 29151 32777 35471 40369 51903 55227 62853 68019 80811 84861 87453 98331 106413 121107 128863 155709 165681 188559 204057 229439 236447 248297 294993 319239 363321 386589 497043 565677 612171 688317 709341 744891 884979 957717 1089963 1159767 1343857 1454311 1655129 2064951 2128023 2234673 2589383 3479301 4031571 4362933 4965387 6194853 6384069 6704019 7768149 9406999 10180177 12094713 13088799 14896161 18125681 23304447 28220997 30540531 36284139 39266397 44688483 54377043 69913341 84662991 91621593 106164703 163131129 253988973 274864779 318494109 489393387 743152921 955482327 2229458763 2866446981 6688376289 20065128867