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13289339448 = 23327118092963
BaseRepresentation
bin11000110000001101…
…10011101000111000
31021022011020101120100
430120012303220320
5204204032330243
610034404355400
7650215343610
oct143006635070
937264211510
1013289339448
1156aa538470
1226aa6a5b60
13133a309388
14900d65a40
1552ba570d3
hex3181b3a38

13289339448 has 192 divisors, whose sum is σ = 44943724800. Its totient is φ = 3446346240.

The previous prime is 13289339447. The next prime is 13289339489. The reversal of 13289339448 is 84493398231.

13289339448 is a `hidden beast` number, since 132 + 89 + 3 + 394 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13289339394 and 13289339403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13289339447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4483615 + ... + 4486577.

It is an arithmetic number, because the mean of its divisors is an integer number (234081900).

Almost surely, 213289339448 is an apocalyptic number.

13289339448 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 13289339448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22471862400).

13289339448 is an abundant number, since it is smaller than the sum of its proper divisors (31654385352).

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

13289339448 is a wasteful number, since it uses less digits than its factorization.

13289339448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3795 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 13289339448 in words is "thirteen billion, two hundred eighty-nine million, three hundred thirty-nine thousand, four hundred forty-eight".