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28343643120000 = 27345413336463
BaseRepresentation
bin1100111000111010001001…
…10001111010000110000000
310201100121220020000010220000
412130131010301322012000
512203340240114320000
6140140520114520000
75653521620250435
oct634350461720600
9121317806003800
1028343643120000
11903852069558a
123219230896000
1312a7a42785b50
146ddba7dc1b8c
1534243ac20000
hex19c744c7a180

28343643120000 has 800 divisors, whose sum is σ = 113512378536480. Its totient is φ = 6976876032000.

The previous prime is 28343643119989. The next prime is 28343643120043. The reversal of 28343643120000 is 2134634382.

28343643120000 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 3 + 643 + 1 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 84071769 + ... + 84408231.

Almost surely, 228343643120000 is an apocalyptic number.

28343643120000 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 28343643120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56756189268240).

28343643120000 is an abundant number, since it is smaller than the sum of its proper divisors (85168735416480).

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

28343643120000 is an equidigital number, since it uses as much as digits as its factorization.

28343643120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336522 (or 336486 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 28343643120000 its reverse (2134634382), we get a palindrome (28345777754382).

The spelling of 28343643120000 in words is "twenty-eight trillion, three hundred forty-three billion, six hundred forty-three million, one hundred twenty thousand".