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289247112000 = 26345371121731
BaseRepresentation
bin1000011010110000111…
…10001010101101000000
31000122121010110201110000
410031120132022231000
514214334230041000
6340513413240000
726616545612550
oct4153036125500
91018533421400
10289247112000
1110173a4aa400
1248084333000
13213781752a2
14dddcdd9160
1577cd683000
hex435878ab40

289247112000 has 3360 divisors, whose sum is σ = 1469189449728. Its totient is φ = 54743040000.

The previous prime is 289247111953. The next prime is 289247112019. The reversal of 289247112000 is 211742982.

It is a tau number, because it is divible by the number of its divisors (3360).

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 479 ways as a sum of consecutive naturals, for example, 9330551985 + ... + 9330552015.

Almost surely, 2289247112000 is an apocalyptic number.

289247112000 is a gapful number since it is divisible by the number (20) 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 289247112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734594724864).

289247112000 is an abundant number, since it is smaller than the sum of its proper divisors (1179942337728).

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

289247112000 is a wasteful number, since it uses less digits than its factorization.

289247112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 289247112000 its reverse (211742982), we get a palindrome (289458854982).

The spelling of 289247112000 in words is "two hundred eighty-nine billion, two hundred forty-seven million, one hundred twelve thousand".