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30200452128000 = 283653711172343
BaseRepresentation
bin1101101110111100101110…
…01110001001110100000000
310221221010122102201221000000
412313132113032021310000
512424301011221044000
6144121521324000000
76234624233354520
oct667362716116400
9127833572657000
1030200452128000
119693a379a1760
123479072390000
1313b0b7632188b
147659d1521680
153758b2cac000
hex1b7797389d00

30200452128000 has 8064 divisors, whose sum is σ = 158991284035584. Its totient is φ = 5518098432000.

The previous prime is 30200452127987. The next prime is 30200452128019. The reversal of 30200452128000 is 82125400203.

30200452128000 is a `hidden beast` number, since 3 + 0 + 200 + 452 + 1 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 895 ways as a sum of consecutive naturals, for example, 702336095979 + ... + 702336096021.

It is an arithmetic number, because the mean of its divisors is an integer number (19716181056).

Almost surely, 230200452128000 is an apocalyptic number.

30200452128000 is a gapful number since it is divisible by the number (30) 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 30200452128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79495642017792).

30200452128000 is an abundant number, since it is smaller than the sum of its proper divisors (128790831907584).

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

30200452128000 is a wasteful number, since it uses less digits than its factorization.

30200452128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 30200452128000 its reverse (82125400203), we get a palindrome (30282577528203).

The spelling of 30200452128000 in words is "thirty trillion, two hundred billion, four hundred fifty-two million, one hundred twenty-eight thousand".