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10653225222264 = 23317593103942379
BaseRepresentation
bin1001101100000110010110…
…1101001000000001111000
31101201102211120201202010220
42123001211231020001320
52344020301124103024
634354005112340040
72146445565204402
oct233014555100170
941642746652126
1010653225222264
1134380099aa909
1212407bb6a4620
135c3796ab5691
1428b8941b5b72
151371ac886e79
hex9b065b48078

10653225222264 has 128 divisors (see below), whose sum is σ = 28275122304000. Its totient is φ = 3333262270464.

The previous prime is 10653225222229. The next prime is 10653225222287. The reversal of 10653225222264 is 46222252235601.

It is a super-2 number, since 2×106532252222642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251358627 + ... + 251401005.

It is an arithmetic number, because the mean of its divisors is an integer number (220899393000).

Almost surely, 210653225222264 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 10653225222264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137561152000).

10653225222264 is an abundant number, since it is smaller than the sum of its proper divisors (17621897081736).

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

10653225222264 is a wasteful number, since it uses less digits than its factorization.

10653225222264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44037 (or 44033 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 10653225222264 its reverse (46222252235601), we get a palindrome (56875477457865).

The spelling of 10653225222264 in words is "ten trillion, six hundred fifty-three billion, two hundred twenty-five million, two hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 593 1039 1186 1779 2078 2372 3117 3558 4156 4744 6234 7116 8312 10081 12468 14232 17663 20162 24936 30243 35326 40324 42379 52989 60486 70652 80648 84758 105978 120972 127137 141304 169516 211956 241944 254274 339032 423912 508548 616127 720443 1017096 1232254 1440886 1848381 2161329 2464508 2881772 3696762 4322658 4929016 5763544 7393524 8645316 10474159 14787048 17290632 20948318 25130747 31422477 41896636 44031781 50261494 62844954 75392241 83793272 88063562 100522988 125689908 132095343 150784482 176127124 201045976 251379816 264190686 301568964 352254248 427222699 528381372 603137928 748540277 854445398 1056762744 1281668097 1497080554 1708890796 2245620831 2563336194 2994161108 3417781592 4491241662 5126672388 5988322216 8982483324 10253344776 17964966648 26110846133 52221692266 78332538399 104443384532 156665076798 208886769064 313330153596 443884384261 626660307192 887768768522 1331653152783 1775537537044 2663306305566 3551075074088 5326612611132 10653225222264