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11319098784 = 25373379907
BaseRepresentation
bin10101000101010101…
…11011110110100000
31002012211212210110220
422202222323312200
5141140142130114
65111103323040
7550332516000
oct124252736640
932184783426
1011319098784
1148893774a4
12223a8b0480
1310b50815b6
14795416000
15463ac20a9
hex2a2abbda0

11319098784 has 192 divisors, whose sum is σ = 34780032000. Its totient is φ = 3221938944.

The previous prime is 11319098773. The next prime is 11319098801. The reversal of 11319098784 is 48789091311.

It is a happy number.

11319098784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12479259 + ... + 12480165.

It is an arithmetic number, because the mean of its divisors is an integer number (181146000).

Almost surely, 211319098784 is an apocalyptic number.

11319098784 is a gapful number since it is divisible by the number (14) 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 11319098784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390016000).

11319098784 is an abundant number, since it is smaller than the sum of its proper divisors (23460933216).

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

11319098784 is an equidigital number, since it uses as much as digits as its factorization.

11319098784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 11319098784 in words is "eleven billion, three hundred nineteen million, ninety-eight thousand, seven hundred eighty-four".