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21212521656 = 23329473891667
BaseRepresentation
bin10011110000010111…
…010110010010111000
32000202100002202021020
4103300113112102320
5321420401143111
613424521542440
71350444313314
oct236027262270
960670082236
1021212521656
118aa5a08537
124140044a20
132000964681
141053354b44
1584242b906
hex4f05d64b8

21212521656 has 128 divisors (see below), whose sum is σ = 56204928000. Its totient is φ = 6660588032.

The previous prime is 21212521639. The next prime is 21212521661. The reversal of 21212521656 is 65612521212.

It is an alternating number because its digits alternate between even and odd.

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 31 ways as a sum of consecutive naturals, for example, 12724135 + ... + 12725801.

It is an arithmetic number, because the mean of its divisors is an integer number (439101000).

Almost surely, 221212521656 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 21212521656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28102464000).

21212521656 is an abundant number, since it is smaller than the sum of its proper divisors (34992406344).

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

21212521656 is a wasteful number, since it uses less digits than its factorization.

21212521656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2137 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The spelling of 21212521656 in words is "twenty-one billion, two hundred twelve million, five hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 87 94 116 141 174 188 232 282 348 376 389 564 696 778 1128 1167 1363 1556 1667 2334 2726 3112 3334 4089 4668 5001 5452 6668 8178 9336 10002 10904 11281 13336 16356 18283 20004 22562 32712 33843 36566 40008 45124 48343 54849 67686 73132 78349 90248 96686 109698 135372 145029 146264 156698 193372 219396 235047 270744 290058 313396 386744 438792 470094 530207 580116 626792 648463 940188 1060414 1160232 1296926 1590621 1880376 1945389 2120828 2272121 2593852 3181242 3890778 4241656 4544242 5187704 6362484 6816363 7781556 9088484 12724968 13632726 15563112 18176968 18805427 27265452 30477761 37610854 54530904 56416281 60955522 75221708 91433283 112832562 121911044 150443416 182866566 225665124 243822088 365733132 451330248 731466264 883855069 1767710138 2651565207 3535420276 5303130414 7070840552 10606260828 21212521656