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84121943800 = 2352678277591
BaseRepresentation
bin100111001011000001…
…1101111111011111000
322001010121021111220011
41032112003233323320
52334240204200200
6102351201111304
76035422503316
oct1162603577370
9261117244804
1084121943800
113274870a504
1214378328534
137c180b110b
1441003930b6
1522c52d05ba
hex13960efef8

84121943800 has 96 divisors (see below), whose sum is σ = 198768885120. Its totient is φ = 33102115200.

The previous prime is 84121943729. The next prime is 84121943809. The reversal of 84121943800 is 834912148.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84121943809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11078005 + ... + 11085595.

It is an arithmetic number, because the mean of its divisors is an integer number (2070509220).

Almost surely, 284121943800 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 84121943800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99384442560).

84121943800 is an abundant number, since it is smaller than the sum of its proper divisors (114646941320).

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

84121943800 is a wasteful number, since it uses less digits than its factorization.

84121943800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501 (or 8492 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 84121943800 in words is "eighty-four billion, one hundred twenty-one million, nine hundred forty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 827 1340 1654 1675 2680 3308 3350 4135 6616 6700 7591 8270 13400 15182 16540 20675 30364 33080 37955 41350 55409 60728 75910 82700 110818 151820 165400 189775 221636 277045 303640 379550 443272 508597 554090 759100 1017194 1108180 1385225 1518200 2034388 2216360 2542985 2770450 4068776 5085970 5540900 6277757 10171940 11081800 12555514 12714925 20343880 25111028 25429850 31388785 50222056 50859700 62777570 101719400 125555140 156943925 251110280 313887850 420609719 627775700 841219438 1255551400 1682438876 2103048595 3364877752 4206097190 8412194380 10515242975 16824388760 21030485950 42060971900 84121943800