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2682144023 = 133753105211
BaseRepresentation
bin1001111111011110…
…0100010100010111
320220220221000220112
42133313210110113
520443112102043
61122051353235
7123315563606
oct23767442427
96826830815
102682144023
111157000559
1262a2b281b
133398a4190
141b6305a3d
1510a709518
hex9fde4517

2682144023 has 16 divisors (see below), whose sum is σ = 3022530336. Its totient is φ = 2363437440.

The previous prime is 2682144019. The next prime is 2682144037. The reversal of 2682144023 is 3204412862.

It is not a de Polignac number, because 2682144023 - 22 = 2682144019 is a prime.

It is a super-2 number, since 2×26821440232 = 14387793120229249058, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682144053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27113 + ... + 78098.

It is an arithmetic number, because the mean of its divisors is an integer number (188908146).

Almost surely, 22682144023 is an apocalyptic number.

2682144023 is a deficient number, since it is larger than the sum of its proper divisors (340386313).

2682144023 is a wasteful number, since it uses less digits than its factorization.

2682144023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105314.

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2682144023 is about 51789.4199909595. The cubic root of 2682144023 is about 1389.4002248228.

Adding to 2682144023 its reverse (3204412862), we get a palindrome (5886556885).

The spelling of 2682144023 in words is "two billion, six hundred eighty-two million, one hundred forty-four thousand, twenty-three".

Divisors: 1 13 37 53 481 689 1961 25493 105211 1367743 3892807 5576183 50606491 72490379 206318771 2682144023