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13227679080 = 23345711371433
BaseRepresentation
bin11000101000110111…
…00101110101101000
31021010212012201110000
430110123211311220
5204042241212310
610024323023000
7645536263020
oct142433456550
937125181400
1013227679080
115678753090
122691b0aa60
13132a5ca755
148d6ab4a80
155264274c0
hex3146e5d68

13227679080 has 640 divisors, whose sum is σ = 56968116480. Its totient is φ = 2672455680.

The previous prime is 13227679061. The next prime is 13227679093. The reversal of 13227679080 is 8097672231.

13227679080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 9230044 + ... + 9231476.

It is an arithmetic number, because the mean of its divisors is an integer number (89012682).

Almost surely, 213227679080 is an apocalyptic number.

13227679080 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 13227679080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28484058240).

13227679080 is an abundant number, since it is smaller than the sum of its proper divisors (43740437400).

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

13227679080 is a wasteful number, since it uses less digits than its factorization.

13227679080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13227679080 in words is "thirteen billion, two hundred twenty-seven million, six hundred seventy-nine thousand, eighty".