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201550240225044 = 2232234121757272879
BaseRepresentation
bin101101110100111100010010…
…011110010001011100010100
3222102122000101210010001201200
4231310330102132101130110
5202404144342444200134
61552354522505352500
760311344561646424
oct5564742236213424
9872560353101650
10201550240225044
1159246a82226387
121a731953798730
13886014c1445a9
1437ab125874484
151847bb6e31499
hexb74f12791714

201550240225044 has 144 divisors (see below), whose sum is σ = 544618767813120. Its totient is φ = 62691908590080.

The previous prime is 201550240225013. The next prime is 201550240225057. The reversal of 201550240225044 is 440522042055102.

201550240225044 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 502 + 40 + 22 + 50 + 44 = 666.

201550240225044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738470197 + ... + 738743075.

It is an arithmetic number, because the mean of its divisors is an integer number (3782074776480).

Almost surely, 2201550240225044 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 201550240225044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272309383906560).

201550240225044 is an abundant number, since it is smaller than the sum of its proper divisors (343068527588076).

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

201550240225044 is a wasteful number, since it uses less digits than its factorization.

201550240225044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294710 (or 294705 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 201550240225044 in words is "two hundred one trillion, five hundred fifty billion, two hundred forty million, two hundred twenty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 943 1476 1886 2829 3772 5658 8487 11316 16974 21757 33948 43514 65271 87028 130542 195813 261084 272879 391626 500411 545758 783252 818637 892037 1000822 1091516 1501233 1637274 1784074 2001644 2455911 2676111 3002466 3274548 3568148 4503699 4911822 5352222 6004932 6276217 8028333 9007398 9823644 10704444 11188039 12552434 16056666 18014796 18828651 20516851 22376078 25104868 32113332 33564117 37657302 41033702 44752156 56485953 61550553 67128234 75314604 82067404 100692351 112971906 123101106 134256468 184651659 201384702 225943812 246202212 257324897 369303318 402769404 514649794 738606636 771974691 1029299588 1543949382 2315924073 3087898764 4631848146 5937028403 9263696292 11874056806 17811085209 23748113612 35622170418 53433255627 71244340836 106866511254 136551653269 213733022508 243418164523 273103306538 409654959807 486836329046 546206613076 730254493569 819309919614 973672658092 1228964879421 1460508987138 1638619839228 2190763480707 2457929758842 2921017974276 4381526961414 4915859517684 5598617784029 8763053922828 11197235568058 16795853352087 22394471136116 33591706704174 50387560056261 67183413408348 100775120112522 201550240225044