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12808739840 = 2105132113131
BaseRepresentation
bin10111110110111010…
…11101110000000000
31020001122220101211212
423323131131300000
5202213014133330
65514555425252
7632261330561
oct137335356000
936048811755
1012808739840
115483221906
122595755228
131291887800
148971c0168
154ee772295
hex2fb75dc00

12808739840 has 264 divisors, whose sum is σ = 33821975088. Its totient is φ = 4651745280.

The previous prime is 12808739837. The next prime is 12808739863. The reversal of 12808739840 is 4893780821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97776575 + ... + 97776705.

It is an arithmetic number, because the mean of its divisors is an integer number (128113542).

Almost surely, 212808739840 is an apocalyptic number.

12808739840 is a gapful number since it is divisible by the number (10) 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 12808739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16910987544).

12808739840 is an abundant number, since it is smaller than the sum of its proper divisors (21013235248).

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

12808739840 is a wasteful number, since it uses less digits than its factorization.

12808739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 12808739840 in words is "twelve billion, eight hundred eight million, seven hundred thirty-nine thousand, eight hundred forty".