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14028526080 = 293657517
BaseRepresentation
bin11010001000010101…
…00101001000000000
31100012200010222000000
431010022211020000
5212212300313310
610240012000000
71004432334642
oct150412451000
940180128000
1014028526080
115a49812308
122876160000
1314274b900a
149711c0892
155718ba4c0
hex3442a5200

14028526080 has 280 divisors, whose sum is σ = 50437014012. Its totient is φ = 3740442624.

The previous prime is 14028526079. The next prime is 14028526081. The reversal of 14028526080 is 8062582041.

14028526080 is a `hidden beast` number, since 1 + 40 + 2 + 8 + 5 + 2 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14028526079) and next prime (14028526081).

It can be written as a sum of positive squares in 2 ways, for example, as 13504299264 + 524226816 = 116208^2 + 22896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14028526081) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1862482 + ... + 1869998.

Almost surely, 214028526080 is an apocalyptic number.

14028526080 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 14028526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25218507006).

14028526080 is an abundant number, since it is smaller than the sum of its proper divisors (36408487932).

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

14028526080 is an frugal number, since it uses more digits than its factorization.

14028526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7558 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 14028526080 in words is "fourteen billion, twenty-eight million, five hundred twenty-six thousand, eighty".