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20037843936 = 2533112191669
BaseRepresentation
bin10010101010010110…
…010011101111100000
31220201110201221101000
4102222112103233200
5312014142001221
613112200312000
71306361602035
oct225226235740
956643657330
1020037843936
118552927800
123a72772600
131b74497cb6
14d8133738c
157c4243e26
hex4aa593be0

20037843936 has 144 divisors (see below), whose sum is σ = 64240117200. Its totient is φ = 6072042240.

The previous prime is 20037843923. The next prime is 20037843937. The reversal of 20037843936 is 63934873002.

20037843936 is a `hidden beast` number, since 200 + 3 + 7 + 8 + 439 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 20037843891 and 20037843900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20037843937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8710 + ... + 200378.

It is an arithmetic number, because the mean of its divisors is an integer number (446111925).

Almost surely, 220037843936 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 20037843936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32120058600).

20037843936 is an abundant number, since it is smaller than the sum of its proper divisors (44202273264).

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

20037843936 is a wasteful number, since it uses less digits than its factorization.

20037843936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191710 (or 191685 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 20037843936 in words is "twenty billion, thirty-seven million, eight hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2376 2904 3168 3267 3872 4356 4752 5808 6534 8712 9504 11616 13068 17424 26136 34848 52272 104544 191669 383338 575007 766676 1150014 1533352 1725021 2108359 2300028 3066704 3450042 4216718 4600056 5175063 6133408 6325077 6900084 8433436 9200112 10350126 12650154 13800168 16866872 18400224 18975231 20700252 23191949 25300308 27600336 33733744 37950462 41400504 46383898 50600616 55200672 56925693 67467488 69575847 75900924 82801008 92767796 101201232 113851386 139151694 151801848 165602016 185535592 202402464 208727541 227702772 278303388 303603696 371071184 417455082 455405544 556606776 607207392 626182623 742142368 834910164 910811088 1113213552 1252365246 1669820328 1821622176 2226427104 2504730492 3339640656 5009460984 6679281312 10018921968 20037843936