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2133734400000 = 213355573
BaseRepresentation
bin11111000011001100011…
…110110010000000000000
321112222112121201021100000
4133003030132302000000
5234424342001300000
64312120221200000
7310104633102000
oct37031436620000
97488477637300
102133734400000
11752a03495a05
122a5647400000
13126297015438
14753b7cd2000
153a783b00000
hex1f0cc7b2000

2133734400000 has 2016 divisors, whose sum is σ = 9317234908800. Its totient is φ = 487710720000.

The previous prime is 2133734399981. The next prime is 2133734400011. The reversal of 2133734400000 is 44373312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2133734400000 is a `hidden beast` number, since 213 + 3 + 7 + 3 + 440 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 304819199997 + ... + 304819200003.

It is an arithmetic number, because the mean of its divisors is an integer number (4621644300).

Almost surely, 22133734400000 is an apocalyptic number.

2133734400000 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 2133734400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658617454400).

2133734400000 is an abundant number, since it is smaller than the sum of its proper divisors (7183500508800).

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

2133734400000 is an frugal number, since it uses more digits than its factorization.

2133734400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 2133734400000 its reverse (44373312), we get a palindrome (2133778773312).

The spelling of 2133734400000 in words is "two trillion, one hundred thirty-three billion, seven hundred thirty-four million, four hundred thousand".