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13436430336 = 21135721929
BaseRepresentation
bin11001000001101111…
…11010100000000000
31021200102000101100000
430200313322200000
5210004211232321
610101141200000
7653652526200
oct144067724000
937612011300
1013436430336
115775572a8a
12272ba00000
13136192a0c4
149166d4400
1553990e826
hex320dfa800

13436430336 has 864 divisors, whose sum is σ = 50977836000. Its totient is φ = 3511517184.

The previous prime is 13436430323. The next prime is 13436430353. The reversal of 13436430336 is 63303463431.

13436430336 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 643 + 0 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13436430336.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 463325170 + ... + 463325198.

It is an arithmetic number, because the mean of its divisors is an integer number (59002125).

Almost surely, 213436430336 is an apocalyptic number.

13436430336 is a gapful number since it is divisible by the number (16) 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 13436430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25488918000).

13436430336 is an abundant number, since it is smaller than the sum of its proper divisors (37541405664).

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

13436430336 is an equidigital number, since it uses as much as digits as its factorization.

13436430336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 13436430336 its reverse (63303463431), we get a palindrome (76739893767).

The spelling of 13436430336 in words is "thirteen billion, four hundred thirty-six million, four hundred thirty thousand, three hundred thirty-six".