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12878684640 = 253353196167
BaseRepresentation
bin10111111111010000…
…10010000111100000
31020020112111222002000
423333220102013200
5202333420402030
65525534524000
7634101004353
oct137750220740
936215458060
1012878684640
115509755428
1225b5066600
1312a3207173
148a25ca29a
1550598b860
hex2ffa121e0

12878684640 has 192 divisors, whose sum is σ = 46529925120. Its totient is φ = 3323496960.

The previous prime is 12878684639. The next prime is 12878684641. The reversal of 12878684640 is 4648687821.

12878684640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12878684639) and next prime (12878684641).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12878684641) 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 31 ways as a sum of consecutive naturals, for example, 85837 + ... + 182003.

It is an arithmetic number, because the mean of its divisors is an integer number (242343360).

Almost surely, 212878684640 is an apocalyptic number.

12878684640 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 12878684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23264962560).

12878684640 is an abundant number, since it is smaller than the sum of its proper divisors (33651240480).

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

12878684640 is a wasteful number, since it uses less digits than its factorization.

12878684640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96222 (or 96208 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 12878684640 in words is "twelve billion, eight hundred seventy-eight million, six hundred eighty-four thousand, six hundred forty".