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22093848000000 = 293256759743
BaseRepresentation
bin1010000011000000111111…
…11101100011011000000000
32220020011002020212201101200
411001200133331203120000
510343441200042000000
6114553435035301200
74440141102250260
oct501403775433000
986204066781350
1022093848000000
117048a482352a7
122589b28baa800
13c4359693c74a
145654c2ab37a0
15284aa1e3d500
hex14181ff63600

22093848000000 has 1680 divisors, whose sum is σ = 92759337665280. Its totient is φ = 4957747200000.

The previous prime is 22093847999981. The next prime is 22093848000047. The reversal of 22093848000000 is 84839022.

It is a tau number, because it is divible by the number of its divisors (1680).

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 167 ways as a sum of consecutive naturals, for example, 29735999629 + ... + 29736000371.

Almost surely, 222093848000000 is an apocalyptic number.

22093848000000 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 22093848000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46379668832640).

22093848000000 is an abundant number, since it is smaller than the sum of its proper divisors (70665489665280).

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

22093848000000 is an frugal number, since it uses more digits than its factorization.

22093848000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22093848000000 in words is "twenty-two trillion, ninety-three billion, eight hundred forty-eight million", and thus it is an aban number.