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212959810896 = 2437899773417
BaseRepresentation
bin1100011001010101100…
…1001101010101010000
3202100200112110021212120
43012111121031111100
511442120202422041
6241455443454240
721246225345150
oct3062531152520
9670615407776
10212959810896
1182352296a18
1235333987380
131710b28c231
14a443388760
1558160d8366
hex319564d550

212959810896 has 160 divisors (see below), whose sum is σ = 642366385920. Its totient is φ = 59540963328.

The previous prime is 212959810891. The next prime is 212959810927. The reversal of 212959810896 is 698018959212.

212959810896 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 not an unprimeable number, because it can be changed into a prime (212959810891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2863980 + ... + 2937396.

It is an arithmetic number, because the mean of its divisors is an integer number (4014789912).

Almost surely, 2212959810896 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 212959810896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321183192960).

212959810896 is an abundant number, since it is smaller than the sum of its proper divisors (429406575024).

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

212959810896 is a wasteful number, since it uses less digits than its factorization.

212959810896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73621 (or 73615 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 60.

The spelling of 212959810896 in words is "two hundred twelve billion, nine hundred fifty-nine million, eight hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 97 112 168 178 194 267 291 336 356 388 534 582 623 679 712 776 1068 1164 1246 1358 1424 1552 1869 2037 2136 2328 2492 2716 3738 4074 4272 4656 4984 5432 7476 8148 8633 9968 10864 14952 16296 17266 25899 29904 32592 34532 51798 60431 69064 73417 103596 120862 138128 146834 181293 207192 220251 241724 293668 362586 414384 440502 483448 513919 587336 725172 881004 966896 1027838 1174672 1450344 1541757 1762008 2055676 2900688 3083514 3524016 4111352 6167028 6534113 7121449 8222704 12334056 13068226 14242898 19602339 21364347 24668112 26136452 28485796 39204678 42728694 45738791 49850143 52272904 56971592 78409356 85457388 91477582 99700286 104545808 113943184 137216373 149550429 156818712 170914776 182955164 199400572 274432746 299100858 313637424 341829552 365910328 398801144 548865492 598201716 633808961 731820656 797602288 1097730984 1196403432 1267617922 1901426883 2195461968 2392806864 2535235844 3802853766 4436662727 5070471688 7605707532 8873325454 10140943376 13309988181 15211415064 17746650908 26619976362 30422830128 35493301816 53239952724 70986603632 106479905448 212959810896