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12710412288 = 21532747131
BaseRepresentation
bin10111101011001100…
…11000000000000000
31012210210212211210200
423311212120000000
5202012331143123
65501124125200
7626655502410
oct136546300000
935723784720
1012710412288
115432772972
122568836800
1312773ab322
14888106640
154e5ced143
hex2f5998000

12710412288 has 384 divisors, whose sum is σ = 43183895040. Its totient is φ = 3527147520.

The previous prime is 12710412227. The next prime is 12710412307. The reversal of 12710412288 is 88221401721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 97025983 + ... + 97026113.

It is an arithmetic number, because the mean of its divisors is an integer number (112458060).

Almost surely, 212710412288 is an apocalyptic number.

12710412288 is a gapful number since it is divisible by the number (18) 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 12710412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591947520).

12710412288 is an abundant number, since it is smaller than the sum of its proper divisors (30473482752).

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

12710412288 is an equidigital number, since it uses as much as digits as its factorization.

12710412288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12710412288 in words is "twelve billion, seven hundred ten million, four hundred twelve thousand, two hundred eighty-eight".