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19999187712 = 2831372
BaseRepresentation
bin10010101000000010…
…110110001100000000
31220121210000000000000
4102220002312030000
5311424243001322
613104300000000
71305412201500
oct225002661400
956553000000
1019999187712
118533024809
123a61830000
131b69481caa
14d7a153a00
157c0b5a3ac
hex4a80b6300

19999187712 has 378 divisors, whose sum is σ = 69656754468. Its totient is φ = 5714053632.

The previous prime is 19999187711. The next prime is 19999187717. The reversal of 19999187712 is 21778199991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (378).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (5143824) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 19999187712.

It is not an unprimeable number, because it can be changed into a prime (19999187711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2857026813 + ... + 2857026819.

Almost surely, 219999187712 is an apocalyptic number.

19999187712 is a gapful number since it is divisible by the number (12) 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 19999187712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34828377234).

19999187712 is an abundant number, since it is smaller than the sum of its proper divisors (49657566756).

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

19999187712 is an frugal number, since it uses more digits than its factorization.

19999187712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 12 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 63.

The spelling of 19999187712 in words is "nineteen billion, nine hundred ninety-nine million, one hundred eighty-seven thousand, seven hundred twelve".