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14067694080 = 2932511471181
BaseRepresentation
bin11010001100111111…
…11111101000000000
31100022101211220101200
431012133333220000
5212302312202310
610243531301200
71005416266236
oct150637775000
940271756350
1014067694080
115a69934860
1228872aa800
131432650c4b
14976498956
155750559c0
hex3467ffa00

14067694080 has 480 divisors, whose sum is σ = 54326308608. Its totient is φ = 3334963200.

The previous prime is 14067694037. The next prime is 14067694097. The reversal of 14067694080 is 8049676041.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11911090 + ... + 11912270.

Almost surely, 214067694080 is an apocalyptic number.

14067694080 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 14067694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27163154304).

14067694080 is an abundant number, since it is smaller than the sum of its proper divisors (40258614528).

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

14067694080 is a wasteful number, since it uses less digits than its factorization.

14067694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14067694080 in words is "fourteen billion, sixty-seven million, six hundred ninety-four thousand, eighty".