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12828415878 = 233237563257
BaseRepresentation
bin10111111001010001…
…00001011110000110
31020010000221001022000
423330220201132012
5202233033302003
65520541250130
7632620510245
oct137450413606
936100831260
1012828415878
1154933407a3
1225a0263946
131295986635
14899a6295c
1550135c1a3
hex2fca21786

12828415878 has 16 divisors (see below), whose sum is σ = 28507590960. Its totient is φ = 4276138608.

The previous prime is 12828415867. The next prime is 12828415931. The reversal of 12828415878 is 87851482821.

It is a happy number.

12828415878 is a `hidden beast` number, since 12 + 8 + 2 + 8 + 41 + 587 + 8 = 666.

12828415878 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×128284158783 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 237563257 = 12828415878 / (1 + 2 + 8 + 2 + 8 + 4 + 1 + 5 + 8 + 7 + 8).

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 7 ways as a sum of consecutive naturals, for example, 118781575 + ... + 118781682.

It is an arithmetic number, because the mean of its divisors is an integer number (1781724435).

Almost surely, 212828415878 is an apocalyptic number.

12828415878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12828415878 is an abundant number, since it is smaller than the sum of its proper divisors (15679175082).

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

12828415878 is a wasteful number, since it uses less digits than its factorization.

12828415878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237563268 (or 237563262 counting only the distinct ones).

The product of its digits is 2293760, while the sum is 54.

The spelling of 12828415878 in words is "twelve billion, eight hundred twenty-eight million, four hundred fifteen thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 237563257 475126514 712689771 1425379542 2138069313 4276138626 6414207939 12828415878