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2143892630880 = 25325711134334589
BaseRepresentation
bin11111001100101001111…
…101010110110101100000
321120221202120012212102100
4133030221331112311200
5240111143003142010
64320520215250400
7310614441454320
oct37145175266540
97527676185370
102143892630880
11757246554140
122a7601379a00
13127225724040
1475a9d083280
153ab7a8162c0
hex1f329f56d60

2143892630880 has 1152 divisors, whose sum is σ = 10051656975360. Its totient is φ = 401641390080.

The previous prime is 2143892630861. The next prime is 2143892630933. The reversal of 2143892630880 is 880362983412.

2143892630880 is a `hidden beast` number, since 214 + 38 + 92 + 6 + 308 + 8 + 0 = 666.

It is a super-2 number, since 2×21438926308802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61964626 + ... + 61999214.

It is an arithmetic number, because the mean of its divisors is an integer number (8725396680).

Almost surely, 22143892630880 is an apocalyptic number.

2143892630880 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 2143892630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025828487680).

2143892630880 is an abundant number, since it is smaller than the sum of its proper divisors (7907764344480).

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

2143892630880 is a wasteful number, since it uses less digits than its factorization.

2143892630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34684 (or 34673 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

It can be divided in two parts, 2143892 and 630880, that added together give a palindrome (2774772).

The spelling of 2143892630880 in words is "two trillion, one hundred forty-three billion, eight hundred ninety-two million, six hundred thirty thousand, eight hundred eighty".