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12809608032 = 2531310264109
BaseRepresentation
bin10111110111000001…
…10001101101100000
31020001201112111210010
423323200301231200
5202213224424112
65515030204520
7632301605004
oct137340615540
936051474703
1012809608032
115483765121
122595ab3740
131291acca30
14897368704
154ee89463c
hex2fb831b60

12809608032 has 48 divisors (see below), whose sum is σ = 36211780080. Its totient is φ = 3941417472.

The previous prime is 12809607989. The next prime is 12809608039. The reversal of 12809608032 is 23080690821.

It is a happy number.

12809608032 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12809608039) 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 7 ways as a sum of consecutive naturals, for example, 5130807 + ... + 5133302.

It is an arithmetic number, because the mean of its divisors is an integer number (754412085).

Almost surely, 212809608032 is an apocalyptic number.

12809608032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12809608032 is an abundant number, since it is smaller than the sum of its proper divisors (23402172048).

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

12809608032 is a wasteful number, since it uses less digits than its factorization.

12809608032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264135 (or 10264127 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 12809608032 in words is "twelve billion, eight hundred nine million, six hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 10264109 20528218 30792327 41056436 61584654 82112872 123169308 133433417 164225744 246338616 266866834 328451488 400300251 492677232 533733668 800600502 985354464 1067467336 1601201004 2134934672 3202402008 4269869344 6404804016 12809608032