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20194244352 = 283323592153
BaseRepresentation
bin10010110011101010…
…111011011100000000
31221010101000220102000
4102303222323130000
5312324211304402
613135504424000
71313301146652
oct226352733400
957111026360
1020194244352
118623140747
123ab7018000
131b9a9c8219
14d9800a6d2
157d2d39c1c
hex4b3abb700

20194244352 has 288 divisors, whose sum is σ = 63399974400. Its totient is φ = 6326673408.

The previous prime is 20194244339. The next prime is 20194244381. The reversal of 20194244352 is 25344249102.

It is a happy number.

20194244352 is a `hidden beast` number, since 20 + 194 + 2 + 443 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9378508 + ... + 9380660.

It is an arithmetic number, because the mean of its divisors is an integer number (220138800).

Almost surely, 220194244352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20194244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31699987200).

20194244352 is an abundant number, since it is smaller than the sum of its proper divisors (43205730048).

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

20194244352 is a wasteful number, since it uses less digits than its factorization.

20194244352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20194244352 in words is "twenty billion, one hundred ninety-four million, two hundred forty-four thousand, three hundred fifty-two".