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10052025324144 = 24331371693107843
BaseRepresentation
bin1001001001000110101101…
…1001100001001001110000
31022120222000221001112212120
42102101223121201021300
52304143021440333034
633213500420154240
72055143362324206
oct222215331411160
938528027045776
1010052025324144
113226049270081
121164196b38980
1357bb9569b1ab
1426a74082b076
151267224edc49
hex9246b661270

10052025324144 has 160 divisors (see below), whose sum is σ = 27546387585024. Its totient is φ = 3153058513920.

The previous prime is 10052025324127. The next prime is 10052025324163. The reversal of 10052025324144 is 44142352025001.

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, 93155887 + ... + 93263729.

Almost surely, 210052025324144 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 10052025324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773193792512).

10052025324144 is an abundant number, since it is smaller than the sum of its proper divisors (17494362260880).

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

10052025324144 is a wasteful number, since it uses less digits than its factorization.

10052025324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109615 (or 109609 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 10052025324144 its reverse (44142352025001), we get a palindrome (54194377349145).

The spelling of 10052025324144 in words is "ten trillion, fifty-two billion, twenty-five million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 592 744 888 1147 1488 1693 1776 2294 3386 3441 4588 5079 6772 6882 9176 10158 13544 13764 18352 20316 27088 27528 40632 52483 55056 62641 81264 104966 107843 125282 157449 187923 209932 215686 250564 314898 323529 375846 419864 431372 501128 629796 647058 751692 839728 862744 1002256 1259592 1294116 1503384 1725488 1941871 2519184 2588232 3006768 3343133 3883742 3990191 5176464 5825613 6686266 7767484 7980382 10029399 11651226 11970573 13372532 15534968 15960764 20058798 23302452 23941146 26745064 31069936 31921528 40117596 46604904 47882292 53490128 63843056 80235192 93209808 95764584 123695921 160470384 182578199 191529168 247391842 365156398 371087763 494783684 547734597 730312796 742175526 989567368 1095469194 1460625592 1484351052 1979134736 2190938388 2921251184 2968702104 4381876776 5659924169 5937404208 6755393363 8763753552 11319848338 13510786726 16979772507 20266180089 22639696676 27021573452 33959545014 40532360178 45279393352 54043146904 67919090028 81064720356 90558786704 108086293808 135838180056 162129440712 209417194253 271676360112 324258881424 418834388506 628251582759 837668777012 1256503165518 1675337554024 2513006331036 3350675108048 5026012662072 10052025324144