Search a number
-
+
2066142561 = 37414355807
BaseRepresentation
bin111101100100110…
…1101010101100001
312022222210220202120
41323021231111201
513212413030221
6541004334453
7102125631150
oct17311552541
95288726676
102066142561
1197031353a
12497b44429
1326c095182
14158595597
15c15ca5c6
hex7b26d561

2066142561 has 32 divisors (see below), whose sum is σ = 3300261888. Its totient is φ = 1125048960.

The previous prime is 2066142521. The next prime is 2066142587. The reversal of 2066142561 is 1652416602.

It is a de Polignac number, because none of the positive numbers 2k-2066142561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2066142521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9120 + ... + 64926.

It is an arithmetic number, because the mean of its divisors is an integer number (103133184).

Almost surely, 22066142561 is an apocalyptic number.

2066142561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2066142561 is a deficient number, since it is larger than the sum of its proper divisors (1234119327).

2066142561 is a wasteful number, since it uses less digits than its factorization.

2066142561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55901.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2066142561 is about 45454.8408973126. The cubic root of 2066142561 is about 1273.6597601494.

The spelling of 2066142561 in words is "two billion, sixty-six million, one hundred forty-two thousand, five hundred sixty-one".

Divisors: 1 3 7 21 41 43 123 129 287 301 861 903 1763 5289 12341 37023 55807 167421 390649 1171947 2288087 2399701 6864261 7199103 16016609 16797907 48049827 50393721 98387741 295163223 688714187 2066142561