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19672093584 = 243211133130817
BaseRepresentation
bin10010010100100011…
…000101001110010000
31212202222111220012200
4102110203011032100
5310242023443314
613012013123200
71264331015343
oct222443051620
955688456180
1019672093584
118385425090
123990189500
131b16788a80
14d4892a45a
157a2098709
hex4948c5390

19672093584 has 240 divisors, whose sum is σ = 66768059904. Its totient is φ = 5325004800.

The previous prime is 19672093583. The next prime is 19672093589. The reversal of 19672093584 is 48539027691.

It is a self number, because there is not a number n which added to its sum of digits gives 19672093584.

It is not an unprimeable number, because it can be changed into a prime (19672093583) 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 47 ways as a sum of consecutive naturals, for example, 622944 + ... + 653760.

It is a 1-persistent number, because it is pandigital, but 2⋅19672093584 = 39344187168 is not.

Almost surely, 219672093584 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 19672093584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33384029952).

19672093584 is an abundant number, since it is smaller than the sum of its proper divisors (47095966320).

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

19672093584 is a wasteful number, since it uses less digits than its factorization.

19672093584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30886 (or 30877 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 19672093584 in words is "nineteen billion, six hundred seventy-two million, ninety-three thousand, five hundred eighty-four".