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26810612640 = 2532572616229
BaseRepresentation
bin11000111110000010…
…010111101110100000
32120012110220020102100
4120332002113232200
5414402004101030
620152220250400
71636251306300
oct307602275640
976173806370
1026810612640
111040898a109
1252429a0a00
1326b36a0c46
141424a23600
15a6db25360
hex63e097ba0

26810612640 has 432 divisors, whose sum is σ = 108190653480. Its totient is φ = 6026711040.

The previous prime is 26810612639. The next prime is 26810612641. The reversal of 26810612640 is 4621601862.

26810612640 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 0 + 6 + 1 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (26810612639) and next prime (26810612641).

It can be written as a sum of positive squares in 4 ways, for example, as 14008142736 + 12802469904 = 118356^2 + 113148^2 .

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 = 26810612595 and 26810612604.

It is not an unprimeable number, because it can be changed into a prime (26810612641) 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 71 ways as a sum of consecutive naturals, for example, 4301046 + ... + 4307274.

Almost surely, 226810612640 is an apocalyptic number.

26810612640 is a gapful number since it is divisible by the number (20) 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 26810612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54095326740).

26810612640 is an abundant number, since it is smaller than the sum of its proper divisors (81380040840).

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

26810612640 is a wasteful number, since it uses less digits than its factorization.

26810612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 26810612640 in words is "twenty-six billion, eight hundred ten million, six hundred twelve thousand, six hundred forty".