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14062165056 = 26310612
BaseRepresentation
bin11010001100010101…
…11001110001000000
31100022000110000000000
431012022321301000
5212244403240211
610243213000000
71005321300522
oct150612716100
940260400000
1014062165056
115a667a8815
122885483000
131431466434
14975859a12
15574812656
hex3462b9c40

14062165056 has 231 divisors, whose sum is σ = 42554100693. Its totient is φ = 4610545920.

The previous prime is 14062164947. The next prime is 14062165093. The reversal of 14062165056 is 65056126041.

The square root of 14062165056 is 118584.

It is a perfect power (a square), and thus also a powerful number.

14062165056 is a `hidden beast` number, since 140 + 6 + 2 + 1 + 6 + 505 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 457275456 + 13604889600 = 21384^2 + 116640^2 .

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 14062165056.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 230527266 + ... + 230527326.

Almost surely, 214062165056 is an apocalyptic number.

14062165056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14062165056 is the 118584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14062165056

14062165056 is an abundant number, since it is smaller than the sum of its proper divisors (28491935637).

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

14062165056 is an frugal number, since it uses more digits than its factorization.

14062165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 14062165056 by its sum of digits (36), we get a square (506237942016 = 7115042).

14062165056 divided by its sum of digits (36) gives a square (390615696 = 197642).

The spelling of 14062165056 in words is "fourteen billion, sixty-two million, one hundred sixty-five thousand, fifty-six".