Search a number
-
+
828190918281 = 319103712719793
BaseRepresentation
bin11000000110101000000…
…01101000011010001001
32221011201001022202210010
430003110001220122021
5102032113333341111
61432244325342133
7113556225440106
oct14032401503211
92834631282703
10828190918281
1129a263200971
12114613567949
13601375c1acc
142c128411aad
15168231bbaa6
hexc0d4068689

828190918281 has 32 divisors (see below), whose sum is σ = 1173882378240. Its totient is φ = 517890772224.

The previous prime is 828190918267. The next prime is 828190918307. The reversal of 828190918281 is 182819091828.

It is not a de Polignac number, because 828190918281 - 221 = 828188821129 is a prime.

It is a super-2 number, since 2×8281909182812 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (828190918481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41832721 + ... + 41852513.

It is an arithmetic number, because the mean of its divisors is an integer number (36683824320).

Almost surely, 2828190918281 is an apocalyptic number.

It is an amenable number.

828190918281 is a deficient number, since it is larger than the sum of its proper divisors (345691459959).

828190918281 is a wasteful number, since it uses less digits than its factorization.

828190918281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27045.

The product of its (nonzero) digits is 1327104, while the sum is 57.

It can be divided in two parts, 828190 and 918281, that added together give a palindrome (1746471).

The spelling of 828190918281 in words is "eight hundred twenty-eight billion, one hundred ninety million, nine hundred eighteen thousand, two hundred eighty-one".

Divisors: 1 3 19 57 103 309 1957 5871 7127 19793 21381 59379 135413 376067 406239 734081 1128201 2038679 2202243 6116037 13947539 38734901 41842617 116204703 141064711 423194133 2680229509 8040688527 14529665233 43588995699 276063639427 828190918281