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10128529092 = 22311267104113
BaseRepresentation
bin10010110111011010…
…10001011011000100
3222010212121120220010
421123231101123010
5131220400412332
64353013310220
7505665035223
oct113355213304
928125546803
1010128529092
114328321900
121b68035370
13c5550c5a6
146c125ccba
153e42ea9cc
hex25bb516c4

10128529092 has 72 divisors (see below), whose sum is σ = 26364996448. Its totient is φ = 3023412480.

The previous prime is 10128529079. The next prime is 10128529109. The reversal of 10128529092 is 29092582101.

10128529092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10128529092.

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 23 ways as a sum of consecutive naturals, for example, 45228 + ... + 149340.

Almost surely, 210128529092 is an apocalyptic number.

10128529092 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 10128529092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182498224).

10128529092 is an abundant number, since it is smaller than the sum of its proper divisors (16236467356).

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

10128529092 is a wasteful number, since it uses less digits than its factorization.

10128529092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104209 (or 104196 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 10128529092 in words is "ten billion, one hundred twenty-eight million, five hundred twenty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 121 132 134 201 242 268 363 402 484 726 737 804 1452 1474 2211 2948 4422 8107 8844 16214 24321 32428 48642 97284 104113 208226 312339 416452 624678 1145243 1249356 2290486 3435729 4580972 6871458 6975571 12597673 13742916 13951142 20926713 25195346 27902284 37793019 41853426 50390692 75586038 76731281 83706852 151172076 153462562 230193843 306925124 460387686 844044091 920775372 1688088182 2532132273 3376176364 5064264546 10128529092