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10868387712 = 2737133179127
BaseRepresentation
bin10100001111100111…
…00110111110000000
31001001102210022010020
422013303212332000
5134224301401322
64554243133440
7533220525360
oct120763467600
931042708106
1010868387712
114677a15606
122133974280
131042896060
147516109a0
1543924305c
hex287ce6f80

10868387712 has 512 divisors, whose sum is σ = 37434163200. Its totient is φ = 2717245440.

The previous prime is 10868387671. The next prime is 10868387737. The reversal of 10868387712 is 21778386801.

10868387712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 85577793 + ... + 85577919.

It is an arithmetic number, because the mean of its divisors is an integer number (73113600).

Almost surely, 210868387712 is an apocalyptic number.

10868387712 is a gapful number since it is divisible by the number (12) 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 10868387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18717081600).

10868387712 is an abundant number, since it is smaller than the sum of its proper divisors (26565775488).

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

10868387712 is a wasteful number, since it uses less digits than its factorization.

10868387712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 10868387712 in words is "ten billion, eight hundred sixty-eight million, three hundred eighty-seven thousand, seven hundred twelve".