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10544320241104 = 24131934746316607
BaseRepresentation
bin1001100101110000101001…
…1101100101110111010000
31101100000201210210111020011
42121130022131211313100
52340224231440203404
634231554400524304
72135542041142606
oct231341235456720
941300653714204
1010544320241104
1133a5903982651
121223687620694
135b642c414120
142864c25d5876
1513443698e604
hex9970a765dd0

10544320241104 has 160 divisors (see below), whose sum is σ = 23277390151680. Its totient is φ = 4586979995136.

The previous prime is 10544320241101. The next prime is 10544320241107. The reversal of 10544320241104 is 40114202344501.

It is a happy number.

10544320241104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10544320241101) and next prime (10544320241107).

It is a super-2 number, since 2×105443202411042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10544320241101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634923969 + ... + 634940575.

It is an arithmetic number, because the mean of its divisors is an integer number (145483688448).

Almost surely, 210544320241104 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 10544320241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11638695075840).

10544320241104 is an abundant number, since it is smaller than the sum of its proper divisors (12733069910576).

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

10544320241104 is a wasteful number, since it uses less digits than its factorization.

10544320241104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17457 (or 17451 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 10544320241104 its reverse (40114202344501), we get a palindrome (50658522585605).

The spelling of 10544320241104 in words is "ten trillion, five hundred forty-four billion, three hundred twenty million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 347 463 494 694 926 988 1388 1852 1976 2776 3704 3952 4511 5552 6019 6593 7408 8797 9022 12038 13186 16607 17594 18044 24076 26372 33214 35188 36088 48152 52744 66428 70376 72176 85709 96304 105488 114361 132856 140752 160661 171418 215891 228722 265712 315533 321322 342836 431782 457444 631066 642644 685672 863564 914888 1262132 1285288 1371344 1727128 1829776 2088593 2524264 2570576 3052559 3454256 4101929 4177186 5048528 5762629 6105118 7689041 8203858 8354372 11525258 12210236 15378082 16407716 16708744 23050516 24420472 30756164 32815432 33417488 39683267 46101032 48840944 61512328 65630864 74914177 79366534 92202064 99957533 109489951 123024656 146091779 149828354 158733068 199915066 218979902 292183558 299656708 317466136 399830132 437959804 584367116 599313416 634932272 799660264 875919608 1168734232 1198626832 1423369363 1599320528 1751839216 1899193127 2337468464 2668097227 2846738726 3798386254 5336194454 5693477452 7596772508 10672388908 11386954904 15193545016 21344777816 22773909808 30387090032 34685263951 42689555632 50693847313 69370527902 101387694626 138741055804 202775389252 277482111608 405550778504 554964223216 659020015069 811101557008 1318040030138 2636080060276 5272160120552 10544320241104