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13340466468 = 223273173149157
BaseRepresentation
bin11000110110010011…
…10101110100100100
31021102201102220122200
430123021311310210
5204310124411333
610043432254500
7651406044150
oct143311656444
937381386580
1013340466468
1157263889aa
122703841430
131347a9a754
14907a74060
155312a5c13
hex31b275d24

13340466468 has 288 divisors, whose sum is σ = 40856524800. Its totient is φ = 3590645760.

The previous prime is 13340466467. The next prime is 13340466571. The reversal of 13340466468 is 86466404331.

It is a happy number.

13340466468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13340466467) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 84971046 + ... + 84971202.

Almost surely, 213340466468 is an apocalyptic number.

13340466468 is a gapful number since it is divisible by the number (18) 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 13340466468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20428262400).

13340466468 is an abundant number, since it is smaller than the sum of its proper divisors (27516058332).

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

13340466468 is a wasteful number, since it uses less digits than its factorization.

13340466468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 13340466468 in words is "thirteen billion, three hundred forty million, four hundred sixty-six thousand, four hundred sixty-eight".