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19427220000 = 253254372917
BaseRepresentation
bin10010000101111100…
…111101101000100000
31212010220202000210200
4102011330331220200
5304241332020000
612531424425200
71255265434236
oct220574755040
955126660720
1019427220000
11826a182a21
123922178200
131aa7b1c866
14d241c6956
1578a828500
hex485f3da20

19427220000 has 360 divisors, whose sum is σ = 70925730876. Its totient is φ = 5038848000.

The previous prime is 19427219993. The next prime is 19427220017. The reversal of 19427220000 is 2272491.

19427220000 is a `hidden beast` number, since 19 + 427 + 220 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1898519184 + 17528700816 = 43572^2 + 132396^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6658542 + ... + 6661458.

Almost surely, 219427220000 is an apocalyptic number.

19427220000 is a gapful number since it is divisible by the number (10) 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 19427220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35462865438).

19427220000 is an abundant number, since it is smaller than the sum of its proper divisors (51498510876).

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

19427220000 is a wasteful number, since it uses less digits than its factorization.

19427220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 19427220000 its reverse (2272491), we get a palindrome (19429492491).

The spelling of 19427220000 in words is "nineteen billion, four hundred twenty-seven million, two hundred twenty thousand".