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10128523719 = 379175324379
BaseRepresentation
bin10010110111011010…
…10000000111000111
3222010212121022112010
421123231100013013
5131220400224334
64353013225303
7505665013446
oct113355200707
928125538463
1010128523719
114328318866
121b68032233
13c5550a002
146c125ad5d
153e42e90e9
hex25bb501c7

10128523719 has 16 divisors (see below), whose sum is σ = 13684006400. Its totient is φ = 6662799936.

The previous prime is 10128523609. The next prime is 10128523733. The reversal of 10128523719 is 91732582101.

It is a happy number.

10128523719 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10128523719 - 215 = 10128490951 is a prime.

It is a super-2 number, since 2×101285237192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128523219) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 403272 + ... + 427650.

It is an arithmetic number, because the mean of its divisors is an integer number (855250400).

Almost surely, 210128523719 is an apocalyptic number.

10128523719 is a deficient number, since it is larger than the sum of its proper divisors (3555482681).

10128523719 is a wasteful number, since it uses less digits than its factorization.

10128523719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26214.

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 10128523719 in words is "ten billion, one hundred twenty-eight million, five hundred twenty-three thousand, seven hundred nineteen".

Divisors: 1 3 79 237 1753 5259 24379 73137 138487 415461 1925941 5777823 42736387 128209161 3376174573 10128523719