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10087463990352 = 243727358751887
BaseRepresentation
bin1001001011001010101110…
…1101010011010001010000
31022201100111201011022201110
42102302223231103101100
52310233111240142402
633242041133533320
72060536522113600
oct222625355232120
938640451138643
1010087463990352
11323a084496571
12116b027344240
13582322750b78
1426c3432c4c00
151275e882e56c
hex92cabb53450

10087463990352 has 120 divisors (see below), whose sum is σ = 30729117484416. Its totient is φ = 2842651252224.

The previous prime is 10087463990281. The next prime is 10087463990419. The reversal of 10087463990352 is 25309936478001.

It is a junction number, because it is equal to n+sod(n) for n = 10087463990292 and 10087463990301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29204248 + ... + 29547639.

It is a 1-persistent number, because it is pandigital, but 2⋅10087463990352 = 20174927980704 is not.

Almost surely, 210087463990352 is an apocalyptic number.

10087463990352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10087463990352 is an abundant number, since it is smaller than the sum of its proper divisors (20641653494064).

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

10087463990352 is a wasteful number, since it uses less digits than its factorization.

10087463990352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58751985 (or 58751972 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 10087463990352 in words is "ten trillion, eighty-seven billion, four hundred sixty-three million, nine hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 73 84 98 112 146 147 168 196 219 292 294 336 392 438 511 584 588 784 876 1022 1168 1176 1533 1752 2044 2352 3066 3504 3577 4088 6132 7154 8176 10731 12264 14308 21462 24528 28616 42924 57232 85848 171696 58751887 117503774 176255661 235007548 352511322 411263209 470015096 705022644 822526418 940030192 1233789627 1410045288 1645052836 2467579254 2820090576 2878842463 3290105672 4288887751 4935158508 5757684926 6580211344 8577775502 8636527389 9870317016 11515369852 12866663253 17155551004 17273054778 19740634032 23030739704 25733326506 30022214257 34311102008 34546109556 46061479408 51466653012 60044428514 68622204016 69092219112 90066642771 102933306024 120088857028 138184438224 180133285542 205866612048 210155499799 240177714056 360266571084 420310999598 480355428112 630466499397 720533142168 840621999196 1260932998794 1441066284336 1681243998392 2521865997588 3362487996784 5043731995176 10087463990352