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19691320320 = 210355721719
BaseRepresentation
bin10010010101101100…
…011011010000000000
31212211022200201100000
4102111230123100000
5310311434222240
613013541200000
71264653314100
oct222554332000
955738621300
1019691320320
118395267451
123996700000
131b1a75b239
14d4b2d3200
157a3ae5430
hex495b1b400

19691320320 has 1584 divisors, whose sum is σ = 91737696960. Its totient is φ = 4013162496.

The previous prime is 19691320307. The next prime is 19691320321. The reversal of 19691320320 is 2302319691.

It is a happy number.

19691320320 is a `hidden beast` number, since 1 + 9 + 6 + 9 + 1 + 320 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19691320321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1036385271 + ... + 1036385289.

Almost surely, 219691320320 is an apocalyptic number.

19691320320 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 19691320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45868848480).

19691320320 is an abundant number, since it is smaller than the sum of its proper divisors (72046376640).

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

19691320320 is a wasteful number, since it uses less digits than its factorization.

19691320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 19691320320 in words is "nineteen billion, six hundred ninety-one million, three hundred twenty thousand, three hundred twenty".