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13024091808 = 25327213243127
BaseRepresentation
bin11000010000100101…
…11101111010100000
31020121200010102012200
430020102331322200
5203133131414213
65552211253200
7640514645100
oct141022757240
936550112180
1013024091808
11558383aa42
1226358aa200
1312c7388700
148b7a3b200
15513610273
hex3084bdea0

13024091808 has 648 divisors, whose sum is σ = 48114114048. Its totient is φ = 3328625664.

The previous prime is 13024091767. The next prime is 13024091863. The reversal of 13024091808 is 80819042031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 102551841 + ... + 102551967.

It is an arithmetic number, because the mean of its divisors is an integer number (74250176).

Almost surely, 213024091808 is an apocalyptic number.

13024091808 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 13024091808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24057057024).

13024091808 is an abundant number, since it is smaller than the sum of its proper divisors (35090022240).

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

13024091808 is a wasteful number, since it uses less digits than its factorization.

13024091808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13024091808 in words is "thirteen billion, twenty-four million, ninety-one thousand, eight hundred eight".