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21088862247060 = 223252347871064117
BaseRepresentation
bin1001100101110001000100…
…01001001001100010010100
32202200002001001212210122100
410302320202021021202110
510231004442213401220
6112504031203002100
74304422444302336
oct462704211114224
982602031783570
1021088862247060
1167a0810a53433
1224471b5369330
13b9c89576304a
1452c9c6437456
15268882b36d90
hex132e22249894

21088862247060 has 144 divisors (see below), whose sum is σ = 66764840478336. Its totient is φ = 5378059289856.

The previous prime is 21088862247029. The next prime is 21088862247161. The reversal of 21088862247060 is 6074226888012.

21088862247060 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 8 + 8 + 622 + 4 + 7 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×210888622470602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21088862246988 and 21088862247006.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19286122 + ... + 20350238.

It is an arithmetic number, because the mean of its divisors is an integer number (463644725544).

Almost surely, 221088862247060 is an apocalyptic number.

21088862247060 is a gapful number since it is divisible by the number (20) 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 21088862247060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33382420239168).

21088862247060 is an abundant number, since it is smaller than the sum of its proper divisors (45675978231276).

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

21088862247060 is a wasteful number, since it uses less digits than its factorization.

21088862247060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068942 (or 1068937 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 21088862247060 in words is "twenty-one trillion, eighty-eight billion, eight hundred sixty-two million, two hundred forty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 4787 9574 14361 19148 23935 28722 43083 47870 57444 71805 86166 95740 110101 143610 172332 215415 220202 287220 330303 430830 440404 550505 660606 861660 990909 1064117 1101010 1321212 1651515 1981818 2128234 2202020 3192351 3303030 3963636 4256468 4954545 5320585 6384702 6606060 9577053 9909090 10641170 12769404 15961755 19154106 19818180 21282340 24474691 31923510 38308212 47885265 48949382 63847020 73424073 95770530 97898764 122373455 146848146 191541060 220272219 244746910 293696292 367120365 440544438 489493820 734240730 881088876 1101361095 1468481460 2202722190 4405444380 5093928079 10187856158 15281784237 20375712316 25469640395 30563568474 45845352711 50939280790 61127136948 76408921185 91690705422 101878561580 117160345817 152817842370 183381410844 229226763555 234320691634 305635684740 351481037451 458453527110 468641383268 585801729085 702962074902 916907054220 1054443112353 1171603458170 1405924149804 1757405187255 2108886224706 2343206916340 3514810374510 4217772449412 5272215561765 7029620749020 10544431123530 21088862247060