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20199240000 = 26335459317
BaseRepresentation
bin10010110011111101…
…111111000101000000
31221010201102201011000
4102303331333011000
5312332001140000
613140203452000
71313361464352
oct226375770500
957121381130
1020199240000
118625a42a85
123ab8827000
131b9ba57024
14d9894b0d2
157d34c5000
hex4b3f7f140

20199240000 has 560 divisors, whose sum is σ = 75699518400. Its totient is φ = 5278464000.

The previous prime is 20199239959. The next prime is 20199240001. The reversal of 20199240000 is 4299102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20199240001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 63719842 + ... + 63720158.

Almost surely, 220199240000 is an apocalyptic number.

20199240000 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 20199240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37849759200).

20199240000 is an abundant number, since it is smaller than the sum of its proper divisors (55500278400).

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

20199240000 is an equidigital number, since it uses as much as digits as its factorization.

20199240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 20199240000 in words is "twenty billion, one hundred ninety-nine million, two hundred forty thousand".