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4221057056224 = 251959571206077
BaseRepresentation
bin111101011011001010100…
…110110011110111100000
3112221112021201112200012211
4331123022212303313200
51023124211101244344
612551043221531504
7613650504661441
oct75331246636740
915845251480184
104221057056224
11138815a735878
1258209b573b94
132480757b8798
1410842bc672c8
1574becd9c334
hex3d6ca9b3de0

4221057056224 has 96 divisors (see below), whose sum is σ = 8911472169600. Its totient is φ = 1962107297280.

The previous prime is 4221057056219. The next prime is 4221057056261. The reversal of 4221057056224 is 4226507501224.

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, 20379874 + ... + 20585950.

It is an arithmetic number, because the mean of its divisors is an integer number (92827835100).

Almost surely, 24221057056224 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 4221057056224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455736084800).

4221057056224 is an abundant number, since it is smaller than the sum of its proper divisors (4690415113376).

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

4221057056224 is a wasteful number, since it uses less digits than its factorization.

4221057056224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206736 (or 206728 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 4221057056224 in words is "four trillion, two hundred twenty-one billion, fifty-seven million, fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 571 608 944 1121 1142 1888 2242 2284 4484 4568 8968 9136 10849 17936 18272 21698 33689 35872 43396 67378 86792 134756 173584 206077 269512 347168 412154 539024 640091 824308 1078048 1280182 1648616 2560364 3297232 3915463 5120728 6594464 7830926 10241456 12158543 15661852 20482912 24317086 31323704 48634172 62647408 97268344 117669967 125294816 194536688 231012317 235339934 389073376 462024634 470679868 924049268 941359736 1848098536 1882719472 2235729373 3696197072 3765438944 4471458746 6942528053 7392394144 8942917492 13885056106 17885834984 27770112212 35771669968 55540224424 71543339936 111080448848 131908033007 222160897696 263816066014 527632132028 1055264264056 2110528528112 4221057056224