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21384727520312 = 23134192539193283
BaseRepresentation
bin1001101110011000001010…
…00101100110010000111000
32210201100201102120221120202
410313030011011212100320
510300331410221122222
6113252001434341332
74334665324523042
oct467140505462070
983640642527522
1021384727520312
1168a5237206292
122494605b8a848
13bc1756a8b180
1453d052394a92
152713ec30b892
hex137305166438

21384727520312 has 64 divisors (see below), whose sum is σ = 43301027952000. Its totient is φ = 9842389501824.

The previous prime is 21384727520239. The next prime is 21384727520353. The reversal of 21384727520312 is 21302572748312.

It is a happy number.

It is a super-2 number, since 2×213847275203122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 110542823 + ... + 110736105.

It is an arithmetic number, because the mean of its divisors is an integer number (676578561750).

Almost surely, 221384727520312 is an apocalyptic number.

It is an amenable number.

21384727520312 is an abundant number, since it is smaller than the sum of its proper divisors (21916300431688).

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

21384727520312 is a wasteful number, since it uses less digits than its factorization.

21384727520312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196260 (or 196256 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 21384727520312 in words is "twenty-one trillion, three hundred eighty-four billion, seven hundred twenty-seven million, five hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 419 838 1676 2539 3352 5078 5447 10156 10894 20312 21788 33007 43576 66014 132028 193283 264056 386566 773132 1063841 1546264 2127682 2512679 4255364 5025358 8510728 10050716 13829933 20101432 27659866 55319732 80985577 110639464 161971154 323942308 490745537 647884616 981491074 1052812501 1962982148 2105625002 3925964296 4211250004 6379691981 8422500008 12759383962 25518767924 51037535848 205622380003 411244760006 822489520012 1644979040024 2673090940039 5346181880078 10692363760156 21384727520312