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10223542524552 = 2337461521253369
BaseRepresentation
bin1001010011000101101010…
…0111101101101010001000
31100012100202020221002200120
42110301122213231222020
52320000303341241202
633424344113103240
72103424625426160
oct224613247555210
940170666832616
1010223542524552
113291864256385
121191483857b20
135920caa5a5a6
14274b71ba35a0
1512ae101400bc
hex94c5a9eda88

10223542524552 has 128 divisors (see below), whose sum is σ = 29329786886400. Its totient is φ = 2909070028800.

The previous prime is 10223542524487. The next prime is 10223542524593. The reversal of 10223542524552 is 25542524532201.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 40223724 + ... + 40477092.

It is an arithmetic number, because the mean of its divisors is an integer number (229138960050).

Almost surely, 210223542524552 is an apocalyptic number.

10223542524552 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 10223542524552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664893443200).

10223542524552 is an abundant number, since it is smaller than the sum of its proper divisors (19106244361848).

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

10223542524552 is a wasteful number, since it uses less digits than its factorization.

10223542524552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254367 (or 254363 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 10223542524552 in words is "ten trillion, two hundred twenty-three billion, five hundred forty-two million, five hundred twenty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 461 521 922 1042 1383 1563 1844 2084 2766 3126 3227 3647 3688 4168 5532 6252 6454 7294 9681 10941 11064 12504 12908 14588 19362 21882 25816 29176 38724 43764 77448 87528 240181 253369 480362 506738 720543 760107 960724 1013476 1441086 1520214 1681267 1773583 1921448 2026952 2882172 3040428 3362534 3547166 5043801 5320749 5764344 6080856 6725068 7094332 10087602 10641498 13450136 14188664 20175204 21282996 40350408 42565992 116803109 132005249 233606218 264010498 350409327 396015747 467212436 528020996 700818654 792031494 817621763 924036743 934424872 1056041992 1401637308 1584062988 1635243526 1848073486 2452865289 2772110229 2803274616 3168125976 3270487052 3696146972 4905730578 5544220458 6540974104 7392293944 9811461156 11088440916 19622922312 22176881832 60854419789 121708839578 182563259367 243417679156 365126518734 425980938523 486835358312 730253037468 851961877046 1277942815569 1460506074936 1703923754092 2555885631138 3407847508184 5111771262276 10223542524552