Search a number
-
+
2023678866 = 2311193115189
BaseRepresentation
bin111100010011110…
…1110001110010010
312020000220112112010
41320213232032102
513121030210431
6532450243350
7101101662246
oct17047561622
95200815463
102023678866
1194934a980
12485886556
13263348121
14152aa0426
15bc9dd846
hex789ee392

2023678866 has 64 divisors (see below), whose sum is σ = 4663526400. Its totient is φ = 578980800.

The previous prime is 2023678837. The next prime is 2023678871. The reversal of 2023678866 is 6688763202.

It is a happy number.

It is an unprimeable number.

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, 387400 + ... + 392588.

It is an arithmetic number, because the mean of its divisors is an integer number (72867600).

Almost surely, 22023678866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023678866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331763200).

2023678866 is an abundant number, since it is smaller than the sum of its proper divisors (2639847534).

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

2023678866 is a wasteful number, since it uses less digits than its factorization.

2023678866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2023678866 is about 44985.3183383201. The cubic root of 2023678866 is about 1264.8738053641.

The spelling of 2023678866 in words is "two billion, twenty-three million, six hundred seventy-eight thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 311 418 622 627 933 1254 1866 3421 5189 5909 6842 10263 10378 11818 15567 17727 20526 31134 35454 57079 64999 98591 114158 129998 171237 194997 197182 295773 342474 389994 591546 1084501 1613779 2169002 3227558 3253503 4841337 6507006 9682674 17751569 30661801 35503138 53254707 61323602 91985403 106509414 183970806 337279811 674559622 1011839433 2023678866