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14062689936 = 24381091229
BaseRepresentation
bin11010001100011001…
…11001111010010000
31100022001102200000000
431012030321322100
5212300022034221
610243232130000
71005325615011
oct150614717220
940261380000
1014062689936
115a670270a9
122885696900
1314315bb309
14975955008
155748b7e26
hex346339e90

14062689936 has 180 divisors, whose sum is σ = 41276106300. Its totient is φ = 4640779008.

The previous prime is 14062689931. The next prime is 14062690009. The reversal of 14062689936 is 63998626041.

14062689936 is a `hidden beast` number, since 1 + 4 + 0 + 626 + 8 + 9 + 9 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12422439936 + 1640250000 = 111456^2 + 40500^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14062689931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11441770 + ... + 11442998.

Almost surely, 214062689936 is an apocalyptic number.

14062689936 is a gapful number since it is divisible by the number (16) 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 14062689936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638053150).

14062689936 is an abundant number, since it is smaller than the sum of its proper divisors (27213416364).

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

14062689936 is an equidigital number, since it uses as much as digits as its factorization.

14062689936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 14062689936 in words is "fourteen billion, sixty-two million, six hundred eighty-nine thousand, nine hundred thirty-six".