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5728171259112 = 23317191279577739
BaseRepresentation
bin101001101011011000110…
…0111001111010011101000
3202021121102002210202122020
41103112301213033103220
51222322243320242422
620103252513424440
71130563265224341
oct123266147172350
922247362722566
105728171259112
111909338385085
127861a8b6b120
13327219a823a3
1415b36029b0c8
159e009abd95c
hex535b19cf4e8

5728171259112 has 128 divisors (see below), whose sum is σ = 15973355520000. Its totient is φ = 1701156473856.

The previous prime is 5728171259089. The next prime is 5728171259117. The reversal of 5728171259112 is 2119521718275.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (5728171259117) 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 31 ways as a sum of consecutive naturals, for example, 9625939 + ... + 10203677.

It is an arithmetic number, because the mean of its divisors is an integer number (124791840000).

Almost surely, 25728171259112 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 5728171259112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986677760000).

5728171259112 is an abundant number, since it is smaller than the sum of its proper divisors (10245184260888).

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

5728171259112 is a wasteful number, since it uses less digits than its factorization.

5728171259112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579063 (or 579059 counting only the distinct ones).

The product of its digits is 705600, while the sum is 51.

The spelling of 5728171259112 in words is "five trillion, seven hundred twenty-eight billion, one hundred seventy-one million, two hundred fifty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1279 1292 1938 2558 2584 3837 3876 5116 7674 7752 10232 15348 21743 24301 30696 43486 48602 65229 72903 86972 97204 130458 145806 173944 194408 260916 291612 413117 521832 577739 583224 826234 1155478 1239351 1652468 1733217 2310956 2478702 3304936 3466434 4621912 4957404 6932868 9821563 9914808 10977041 13865736 19643126 21954082 29464689 32931123 39286252 43908164 58929378 65862246 78572504 87816328 117858756 131724492 186609697 235717512 263448984 373219394 559829091 738928181 746438788 1119658182 1477856362 1492877576 2216784543 2239316364 2955712724 4433569086 4478632728 5911425448 8867138172 12561779077 14039635439 17734276344 25123558154 28079270878 37685337231 42118906317 50247116308 56158541756 75370674462 84237812634 100494232616 112317083512 150741348924 168475625268 238673802463 301482697848 336951250536 477347604926 716021407389 954695209852 1432042814778 1909390419704 2864085629556 5728171259112