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3838284024828 = 22311791507724413
BaseRepresentation
bin110111110110101011100…
…011100100101111111100
3111120221021121112222112020
4313312223203210233330
51000341301202243303
612055141111240140
7544210153620621
oct67665343445774
914527247488466
103838284024828
11124a8972a4a10
1251ba75679050
1321ac441ab0b6
14d3ab9986348
1569c98a60a53
hex37dab8e4bfc

3838284024828 has 96 divisors (see below), whose sum is σ = 9894912168960. Its totient is φ = 1148270173440.

The previous prime is 3838284024823. The next prime is 3838284024929. The reversal of 3838284024828 is 8284204828383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838284024821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157210750 + ... + 157235162.

It is an arithmetic number, because the mean of its divisors is an integer number (103072001760).

Almost surely, 23838284024828 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 3838284024828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947456084480).

3838284024828 is an abundant number, since it is smaller than the sum of its proper divisors (6056628144132).

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

3838284024828 is a wasteful number, since it uses less digits than its factorization.

3838284024828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39587 (or 39585 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 60.

The spelling of 3838284024828 in words is "three trillion, eight hundred thirty-eight billion, two hundred eighty-four million, twenty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 15077 24413 30154 45231 48826 60308 73239 90462 97652 146478 165847 180924 268543 292956 331694 497541 537086 663388 805629 995082 1074172 1191083 1611258 1928627 1990164 2382166 3222516 3573249 3857254 4764332 5785881 7146498 7714508 11571762 13101913 14292996 21214897 23143524 26203826 39305739 42429794 52407652 63644691 78611478 84859588 127289382 157222956 254578764 368074801 736149602 1104224403 1472299204 2208448806 4048822811 4416897612 8097645622 12146468433 16195291244 24292936866 29077909279 48585873732 58155818558 87233727837 116311637116 174467455674 319857002069 348934911348 639714004138 959571006207 1279428008276 1919142012414 3838284024828