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12889331910 = 232572131911833
BaseRepresentation
bin11000000000100001…
…11001100011000110
31020021021112220101100
430000100321203012
5202344132110120
65530555040530
7634260341100
oct140020714306
936237486340
1012889331910
115514767924
1225b8740146
1312a5494520
148a3b9c570
15506891490
hex3004398c6

12889331910 has 288 divisors, whose sum is σ = 44195729760. Its totient is φ = 2576157696.

The previous prime is 12889331899. The next prime is 12889331911. The reversal of 12889331910 is 1913398821.

It is a super-2 number, since 2×128893319102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12889331911) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1083354 + ... + 1095186.

It is an arithmetic number, because the mean of its divisors is an integer number (153457395).

Almost surely, 212889331910 is an apocalyptic number.

12889331910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12889331910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22097864880).

12889331910 is an abundant number, since it is smaller than the sum of its proper divisors (31306397850).

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

12889331910 is a wasteful number, since it uses less digits than its factorization.

12889331910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11892 (or 11882 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12889331910 in words is "twelve billion, eight hundred eighty-nine million, three hundred thirty-one thousand, nine hundred ten".