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21221551026560 = 275193974395953
BaseRepresentation
bin1001101001101000001110…
…00000101011000110000000
32210010202112101020012100002
410310310013000223012000
510240143214030322220
6113045013532015132
74320130550311103
oct464640700530600
983122471205302
1021221551026560
116842011345385
122468a666014a8
13bac2506c3061
145351b2a5473a
1526c04ba65c75
hex134d0702b180

21221551026560 has 128 divisors (see below), whose sum is σ = 53537444575200. Its totient is φ = 8021592539136.

The previous prime is 21221551026553. The next prime is 21221551026581. The reversal of 21221551026560 is 6562015512212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2629544 + ... + 7025496.

Almost surely, 221221551026560 is an apocalyptic number.

21221551026560 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 21221551026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26768722287600).

21221551026560 is an abundant number, since it is smaller than the sum of its proper divisors (32315893548640).

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

21221551026560 is a wasteful number, since it uses less digits than its factorization.

21221551026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396388 (or 4396376 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

Adding to 21221551026560 its reverse (6562015512212), we get a palindrome (27783566538772).

The spelling of 21221551026560 in words is "twenty-one trillion, two hundred twenty-one billion, five hundred fifty-one million, twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 397 608 640 760 794 1216 1520 1588 1985 2432 3040 3176 3970 6080 6352 7543 7940 12160 12704 15086 15880 25408 30172 31760 37715 50816 60344 63520 75430 120688 127040 150860 241376 254080 301720 482752 603440 965504 1206880 2413760 4395953 4827520 8791906 17583812 21979765 35167624 43959530 70335248 83523107 87919060 140670496 167046214 175838120 281340992 334092428 351676240 417615535 562681984 668184856 703352480 835231070 1336369712 1406704960 1670462140 1745193341 2672739424 2813409920 3340924280 3490386682 5345478848 6681848560 6980773364 8725966705 10690957696 13363697120 13961546728 17451933410 26727394240 27923093456 33158673479 34903866820 53454788480 55846186912 66317346958 69807733640 111692373824 132634693916 139615467280 165793367395 223384747648 265269387832 279230934560 331586734790 530538775664 558461869120 663173469580 1061077551328 1116923738240 1326346939160 2122155102656 2652693878320 4244310205312 5305387756640 10610775513280 21221551026560