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12438528348 = 22331115972087
BaseRepresentation
bin10111001010110010…
…01110000101011100
31012002212021201011010
423211121032011130
5200433230401343
65414132455220
7620144514021
oct134531160534
935085251133
1012438528348
1153032524a4
1224b177a510
131232c75b5c
1485dd71548
154cbee4d33
hex2e564e15c

12438528348 has 48 divisors (see below), whose sum is σ = 29148747264. Its totient is φ = 4128277440.

The previous prime is 12438528287. The next prime is 12438528367. The reversal of 12438528348 is 84382583421.

12438528348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12438528297 and 12438528306.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5958961 + ... + 5961047.

It is an arithmetic number, because the mean of its divisors is an integer number (607265568).

Almost surely, 212438528348 is an apocalyptic number.

It is an amenable number.

12438528348 is an abundant number, since it is smaller than the sum of its proper divisors (16710218916).

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

12438528348 is a wasteful number, since it uses less digits than its factorization.

12438528348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 4000 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The spelling of 12438528348 in words is "twelve billion, four hundred thirty-eight million, five hundred twenty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 311 622 933 1244 1597 1866 2087 3194 3732 4174 4791 6261 6388 8348 9582 12522 19164 25044 496667 649057 993334 1298114 1490001 1947171 1986668 2596228 2980002 3332939 3894342 5960004 6665878 7788684 9998817 13331756 19997634 39995268 1036544029 2073088058 3109632087 4146176116 6219264174 12438528348