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14814793728 = 2123476379
BaseRepresentation
bin11011100110000011…
…11101000000000000
31102020110122111110000
431303001331000000
5220320041344403
610450020240000
71033060445310
oct156301750000
942213574400
1014814793728
116312623889
122a55540000
131521371547
14a077b3440
155ba92d7a3
hex37307d000

14814793728 has 260 divisors, whose sum is σ = 50586305440. Its totient is φ = 4232134656.

The previous prime is 14814793723. The next prime is 14814793733. The reversal of 14814793728 is 82739741841.

14814793728 is a `hidden beast` number, since 1 + 481 + 4 + 7 + 93 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14814793723) and next prime (14814793733).

It is a super-2 number, since 2×148147937282 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14814793723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2319243 + ... + 2325621.

Almost surely, 214814793728 is an apocalyptic number.

14814793728 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 14814793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25293152720).

14814793728 is an abundant number, since it is smaller than the sum of its proper divisors (35771511712).

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

14814793728 is an frugal number, since it uses more digits than its factorization.

14814793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6391 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 14814793728 in words is "fourteen billion, eight hundred fourteen million, seven hundred ninety-three thousand, seven hundred twenty-eight".