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13449068280 = 233553074507
BaseRepresentation
bin11001000011010000…
…00111111011111000
31021201021210110100000
430201220013323320
5210020430141110
610102312113000
7654165123414
oct144150077370
937637713300
1013449068280
11578171506a
122734095760
13136443358b
14918263d44
1553aaa91c0
hex321a07ef8

13449068280 has 192 divisors, whose sum is σ = 45486080640. Its totient is φ = 3573942912.

The previous prime is 13449068263. The next prime is 13449068291. The reversal of 13449068280 is 8286094431.

It is a happy number.

13449068280 is a `hidden beast` number, since 1 + 3 + 4 + 490 + 6 + 82 + 80 = 666.

13449068280 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 a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2981787 + ... + 2986293.

It is an arithmetic number, because the mean of its divisors is an integer number (236906670).

Almost surely, 213449068280 is an apocalyptic number.

13449068280 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 13449068280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22743040320).

13449068280 is an abundant number, since it is smaller than the sum of its proper divisors (32037012360).

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

13449068280 is a wasteful number, since it uses less digits than its factorization.

13449068280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 13449068280 in words is "thirteen billion, four hundred forty-nine million, sixty-eight thousand, two hundred eighty".