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2104747200000 = 29335583587
BaseRepresentation
bin11110101000001100101…
…101011000111000000000
321110012201110011221101000
4132220030231120320000
5233441010240400000
64250524005012000
7305030412004554
oct36501455307000
97405643157330
102104747200000
11741688a18575
1229bab76b4000
1312362771c6a3
1473c281a7864
1539b38d85000
hex1ea0cb58e00

2104747200000 has 960 divisors, whose sum is σ = 7894497219840. Its totient is φ = 553559040000.

The previous prime is 2104747199981. The next prime is 2104747200041. The reversal of 2104747200000 is 27474012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3585599707 + ... + 3585600293.

It is an arithmetic number, because the mean of its divisors is an integer number (8223434604).

Almost surely, 22104747200000 is an apocalyptic number.

2104747200000 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 2104747200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947248609920).

2104747200000 is an abundant number, since it is smaller than the sum of its proper divisors (5789750019840).

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

2104747200000 is an frugal number, since it uses more digits than its factorization.

2104747200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 2104747200000 in words is "two trillion, one hundred four billion, seven hundred forty-seven million, two hundred thousand".