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18719784960 = 21435192211
BaseRepresentation
bin10001011011110010…
…010100000000000000
31210022121120121100220
4101123302110000000
5301314231104320
612333313543040
71231615355352
oct213362240000
953277517326
1018719784960
117a36915568
123765274a80
1319c43a9246
14c982750d2
15748687e40
hex45bc94000

18719784960 has 360 divisors, whose sum is σ = 63519746976. Its totient is φ = 4706795520.

The previous prime is 18719784947. The next prime is 18719784973. The reversal of 18719784960 is 6948791781.

It is an interprime number because it is at equal distance from previous prime (18719784947) and next prime (18719784973).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 18719784894 and 18719784903.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 88719255 + ... + 88719465.

Almost surely, 218719784960 is an apocalyptic number.

18719784960 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 18719784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31759873488).

18719784960 is an abundant number, since it is smaller than the sum of its proper divisors (44799962016).

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

18719784960 is an equidigital number, since it uses as much as digits as its factorization.

18719784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 60.

The spelling of 18719784960 in words is "eighteen billion, seven hundred nineteen million, seven hundred eighty-four thousand, nine hundred sixty".