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13026666240 = 28355731193
BaseRepresentation
bin11000010000111001…
…10010011100000000
31020121211222012200000
430020130302130000
5203134311304430
65552342400000
7640545556530
oct141034623400
936554865600
1013026666240
115585239175
122636730000
1312c7a7a443
148b810b4c0
1551396ce60
hex308732700

13026666240 has 864 divisors, whose sum is σ = 55426215936. Its totient is φ = 2866544640.

The previous prime is 13026666199. The next prime is 13026666241. The reversal of 13026666240 is 4266662031.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 13026666195 and 13026666204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13026666241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67495584 + ... + 67495776.

Almost surely, 213026666240 is an apocalyptic number.

13026666240 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 13026666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27713107968).

13026666240 is an abundant number, since it is smaller than the sum of its proper divisors (42399549696).

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

13026666240 is an equidigital number, since it uses as much as digits as its factorization.

13026666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13026666240 in words is "thirteen billion, twenty-six million, six hundred sixty-six thousand, two hundred forty".