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10854128149536 = 253717879038599
BaseRepresentation
bin1001110111110010110001…
…1100111110010000100000
31102102122101212000220000010
42131330230130332100200
52410313223301241121
635030152335324520
72200120262001420
oct235745434762040
942378355026003
1010854128149536
1135052344126a1
121273729680740
136097031b4739
142974b2176480
1513c51a215376
hex9df2c73e420

10854128149536 has 96 divisors (see below), whose sum is σ = 32580609868800. Its totient is φ = 3099443717376.

The previous prime is 10854128149507. The next prime is 10854128149547. The reversal of 10854128149536 is 63594182145801.

10854128149536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3318436 + ... + 5720163.

It is an arithmetic number, because the mean of its divisors is an integer number (339381352800).

Almost surely, 210854128149536 is an apocalyptic number.

10854128149536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10854128149536 is an abundant number, since it is smaller than the sum of its proper divisors (21726481719264).

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

10854128149536 is a wasteful number, since it uses less digits than its factorization.

10854128149536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040406 (or 9040398 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 10854128149536 in words is "ten trillion, eight hundred fifty-four billion, one hundred twenty-eight million, one hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1787 3574 5361 7148 10722 12509 14296 21444 25018 28592 37527 42888 50036 57184 75054 85776 100072 150108 171552 200144 300216 400288 600432 1200864 9038599 18077198 27115797 36154396 54231594 63270193 72308792 108463188 126540386 144617584 189810579 216926376 253080772 289235168 379621158 433852752 506161544 759242316 867705504 1012323088 1518484632 2024646176 3036969264 6073938528 16151976413 32303952826 48455929239 64607905652 96911858478 113063834891 129215811304 193823716956 226127669782 258431622608 339191504673 387647433912 452255339564 516863245216 678383009346 775294867824 904510679128 1356766018692 1550589735648 1809021358256 2713532037384 3618042716512 5427064074768 10854128149536