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212055650361624 = 23323647829371597
BaseRepresentation
bin110000001101110100001101…
…101101100110000100011000
31000210211022200212200102222110
4300031310031231212010120
5210243304432443032444
62031001004303552320
762444341461521346
oct6015641555460430
91023738625612873
10212055650361624
1161627329393553
121b9499802bb6a0
1391429ba229814
143a5179652a996
15197b0c2925cb9
hexc0dd0db66118

212055650361624 has 128 divisors (see below), whose sum is σ = 554118206653440. Its totient is φ = 67498362742272.

The previous prime is 212055650361433. The next prime is 212055650361649. The reversal of 212055650361624 is 426163056550212.

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, 2961759394 + ... + 2961830990.

It is an arithmetic number, because the mean of its divisors is an integer number (4329048489480).

Almost surely, 2212055650361624 is an apocalyptic number.

212055650361624 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 212055650361624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277059103326720).

212055650361624 is an abundant number, since it is smaller than the sum of its proper divisors (342062556291816).

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

212055650361624 is a wasteful number, since it uses less digits than its factorization.

212055650361624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80569 (or 80565 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 212055650361624 in words is "two hundred twelve trillion, fifty-five billion, six hundred fifty million, three hundred sixty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 647 1294 1941 2588 3882 5176 7764 8293 14881 15528 16586 24879 29762 33172 44643 49758 59524 66344 71597 89286 99516 119048 143194 178572 190739 199032 214791 286388 357144 381478 429582 572217 572776 762956 859164 1144434 1525912 1646731 1718328 2288868 3293462 4577736 4940193 5365571 6586924 9880386 10731142 13173848 16096713 19760772 21462284 32193426 39521544 42924568 46323259 64386852 92646518 123408133 128773704 138969777 185293036 246816266 277939554 370224399 370586072 493632532 555879108 593753921 740448798 987265064 1065434957 1111758216 1187507842 1480897596 1781261763 2130869914 2375015684 2961795192 3196304871 3562523526 4261739828 4750031368 6392609742 7125047052 8523479656 12785219484 13656340183 14250094104 25570438968 27312680366 40969020549 54625360732 81938041098 109250721464 163876082196 327752164392 384158786887 768317573774 1152476360661 1536635147548 2304952721322 3073270295096 4609905442644 8835652098401 9219810885288 17671304196802 26506956295203 35342608393604 53013912590406 70685216787208 106027825180812 212055650361624