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1745225523252 = 22321921105912143
BaseRepresentation
bin11001011001010111100…
…011000010000000110100
320011211201202201110000200
4121121113203002000310
5212043210213221002
63413425011440500
7240042213120021
oct31312743020064
96154652643020
101745225523252
11613167345592
122422a05b6130
13c8760299313
146067dd24548
15305e5e58b1c
hex196578c2034

1745225523252 has 108 divisors (see below), whose sum is σ = 4656753541440. Its totient is φ = 551028632544.

The previous prime is 1745225523229. The next prime is 1745225523289. The reversal of 1745225523252 is 2523255225471.

1745225523252 is a `hidden beast` number, since 1 + 7 + 4 + 52 + 25 + 523 + 2 + 52 = 666.

It is a super-3 number, since 3×17452255232523 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1745225523198 and 1745225523207.

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 35 ways as a sum of consecutive naturals, for example, 143716693 + ... + 143728835.

Almost surely, 21745225523252 is an apocalyptic number.

1745225523252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1745225523252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328376770720).

1745225523252 is an abundant number, since it is smaller than the sum of its proper divisors (2911528018188).

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

1745225523252 is a wasteful number, since it uses less digits than its factorization.

1745225523252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23250 (or 23226 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 45.

The spelling of 1745225523252 in words is "one trillion, seven hundred forty-five billion, two hundred twenty-five million, five hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 11059 12143 12996 22118 24286 33177 36429 44236 48572 66354 72858 99531 109287 132708 145716 199062 210121 218574 230717 398124 420242 437148 461434 630363 692151 840484 922868 1260726 1384302 1891089 2076453 2521452 2768604 3782178 3992299 4152906 4383623 7564356 7984598 8305812 8767246 11976897 13150869 15969196 17534492 23953794 26301738 35930691 39452607 47907588 52603476 71861382 78905214 134289437 143722764 157810428 268578874 402868311 537157748 805736622 1208604933 1611473244 2417209866 2551499303 4834419732 5102998606 7654497909 10205997212 15308995818 22963493727 30617991636 45926987454 48478486757 91853974908 96956973514 145435460271 193913947028 290870920542 436306380813 581741841084 872612761626 1745225523252