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14066792640 = 263352371997
BaseRepresentation
bin11010001100111001…
…00011100011000000
31100022100011002212000
431012130203203000
5212302044331030
610243500104000
71005405523155
oct150634434300
940270132760
1014066792640
115a6937956a
122886b35000
1314323c6854
1497630222c
15574e28860
hex3467238c0

14066792640 has 448 divisors, whose sum is σ = 52564101120. Its totient is φ = 3533967360.

The previous prime is 14066792609. The next prime is 14066792689. The reversal of 14066792640 is 4629766041.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14108622 + ... + 14109618.

Almost surely, 214066792640 is an apocalyptic number.

14066792640 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 14066792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26282050560).

14066792640 is an abundant number, since it is smaller than the sum of its proper divisors (38497308480).

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

14066792640 is a wasteful number, since it uses less digits than its factorization.

14066792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 14066792640 in words is "fourteen billion, sixty-six million, seven hundred ninety-two thousand, six hundred forty".