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3822681816 = 2333532271471
BaseRepresentation
bin1110001111011001…
…0111111011011000
3100212102001100122000
43203312113323120
530312101304231
61431153201000
7163505154642
oct34366277330
910772040560
103822681816
111691893478
128a8260160
1348bc79405
14283997892
151758eb6e6
hexe3d97ed8

3822681816 has 128 divisors (see below), whose sum is σ = 10873958400. Its totient is φ = 1243831680.

The previous prime is 3822681773. The next prime is 3822681823. The reversal of 3822681816 is 6181862283.

3822681816 is a `hidden beast` number, since 382 + 268 + 1 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×38226818162 = 29225792532754115712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2597961 + ... + 2599431.

It is an arithmetic number, because the mean of its divisors is an integer number (84952800).

Almost surely, 23822681816 is an apocalyptic number.

3822681816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3822681816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436979200).

3822681816 is an abundant number, since it is smaller than the sum of its proper divisors (7051276584).

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

3822681816 is a wasteful number, since it uses less digits than its factorization.

3822681816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1756 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 3822681816 is about 61827.8401369480. The cubic root of 3822681816 is about 1563.5893975576.

The spelling of 3822681816 in words is "three billion, eight hundred twenty-two million, six hundred eighty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 227 318 424 454 477 636 681 908 954 1272 1362 1431 1471 1816 1908 2043 2724 2862 2942 3816 4086 4413 5448 5724 5884 6129 8172 8826 11448 11768 12031 12258 13239 16344 17652 24062 24516 26478 35304 36093 39717 48124 49032 52956 72186 77963 79434 96248 105912 108279 144372 155926 158868 216558 233889 288744 311852 317736 324837 333917 433116 467778 623704 649674 667834 701667 866232 935556 1001751 1299348 1335668 1403334 1871112 2003502 2105001 2598696 2671336 2806668 3005253 4007004 4210002 5613336 6010506 8014008 8420004 9015759 12021012 16840008 17697601 18031518 24042024 35395202 36063036 53092803 70790404 72126072 106185606 141580808 159278409 212371212 318556818 424742424 477835227 637113636 955670454 1274227272 1911340908 3822681816