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212773887984 = 24372341671533
BaseRepresentation
bin1100011000101001001…
…1111101111111110000
3202100012120121102120210
43012022103331333300
511441230103403414
6241425202504120
721241510130640
oct3061223757760
9670176542523
10212773887984
1182267349319
12352a1665040
13170ab8c3488
14a4267cc520
155804b0ee59
hex318a4fdff0

212773887984 has 160 divisors (see below), whose sum is σ = 671491021824. Its totient is φ = 56731023360.

The previous prime is 212773887973. The next prime is 212773888013. The reversal of 212773887984 is 489788377212.

212773887984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 18919 + ... + 652614.

Almost surely, 2212773887984 is an apocalyptic number.

212773887984 is a gapful number since it is divisible by the number (24) 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 212773887984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335745510912).

212773887984 is an abundant number, since it is smaller than the sum of its proper divisors (458717133840).

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

212773887984 is a wasteful number, since it uses less digits than its factorization.

212773887984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671615 (or 671609 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 66.

The spelling of 212773887984 in words is "two hundred twelve billion, seven hundred seventy-three million, eight hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 41 42 46 48 56 69 82 84 92 112 123 138 161 164 168 184 246 276 287 322 328 336 368 483 492 552 574 644 656 861 943 966 984 1104 1148 1288 1722 1886 1932 1968 2296 2576 2829 3444 3772 3864 4592 5658 6601 6888 7544 7728 11316 13202 13776 15088 19803 22632 26404 39606 45264 52808 79212 105616 158424 316848 671533 1343066 2014599 2686132 4029198 4700731 5372264 8058396 9401462 10744528 14102193 15445259 16116792 18802924 27532853 28204386 30890518 32233584 37605848 46335777 55065706 56408772 61781036 75211696 82598559 92671554 108116813 110131412 112817544 123562072 165197118 185343108 192729971 216233626 220262824 225635088 247124144 324350439 330394236 370686216 385459942 432467252 440525648 578189913 633255619 648700878 660788472 741372432 770919884 864934504 1156379826 1266511238 1297401756 1321576944 1541839768 1729869008 1899766857 2312759652 2533022476 2594803512 3083679536 3799533714 4432789333 4625519304 5066044952 5189607024 7599067428 8865578666 9251038608 10132089904 13298367999 15198134856 17731157332 26596735998 30396269712 35462314664 53193471996 70924629328 106386943992 212773887984