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212183622672 = 24371989373447
BaseRepresentation
bin1100010110011100100…
…0010010010000010000
3202021200102220211210120
43011213020102100100
511434023001411142
6241250435230240
721221052014550
oct3054710222020
9667612824716
10212183622672
1181a9413a24a
1235157a48380
1317016525768
14a3ac25b160
1557bcdb67ec
hex3167212410

212183622672 has 160 divisors (see below), whose sum is σ = 666828748800. Its totient is φ = 56787692544.

The previous prime is 212183622649. The next prime is 212183622689. The reversal of 212183622672 is 276226381212.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381453 + ... + 754899.

It is an arithmetic number, because the mean of its divisors is an integer number (4167679680).

Almost surely, 2212183622672 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 212183622672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333414374400).

212183622672 is an abundant number, since it is smaller than the sum of its proper divisors (454645126128).

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

212183622672 is a wasteful number, since it uses less digits than its factorization.

212183622672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373573 (or 373567 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 212183622672 in words is "two hundred twelve billion, one hundred eighty-three million, six hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 89 112 114 133 152 168 178 228 266 267 304 336 356 399 456 532 534 623 712 798 912 1064 1068 1246 1424 1596 1691 1869 2128 2136 2492 3192 3382 3738 4272 4984 5073 6384 6764 7476 9968 10146 11837 13528 14952 20292 23674 27056 29904 35511 40584 47348 71022 81168 94696 142044 189392 284088 373447 568176 746894 1120341 1493788 2240682 2614129 2987576 4481364 5228258 5975152 7095493 7842387 8962728 10456516 14190986 15684774 17925456 20913032 21286479 28381972 31369548 33236783 41826064 42572958 49668451 56763944 62739096 66473566 85145916 99336902 99710349 113527888 125478192 132947132 149005353 170291832 198673804 199420698 232657481 265894264 298010706 340583664 397347608 398841396 465314962 531788528 596021412 631498877 697972443 794695216 797682792 930629924 1192042824 1262997754 1395944886 1595365584 1861259848 1894496631 2384085648 2525995508 2791889772 3722519696 3788993262 4420492139 5051991016 5583779544 7577986524 8840984278 10103982032 11167559088 13261476417 15155973048 17681968556 26522952834 30311946096 35363937112 53045905668 70727874224 106091811336 212183622672