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918819918819 = 321110192819901
BaseRepresentation
bin11010101111011011110…
…11110101001111100011
310020211122010210000102200
431113231323311033203
5110023220344400234
61542033335344243
7123245133306345
oct15275573651743
93224563700380
10918819918819
1132473a988410
1212a0a6b22083
136884b824a4a
1432684a85295
1518d79893d99
hexd5edef53e3

918819918819 has 48 divisors (see below), whose sum is σ = 1462477711968. Its totient is φ = 551232000000.

The previous prime is 918819918811. The next prime is 918819918839.

918819918819 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 918819918819 - 23 = 918819918811 is a prime.

It is a super-2 number, since 2×9188199188192 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (918819918811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92795769 + ... + 92805669.

It is an arithmetic number, because the mean of its divisors is an integer number (30468285666).

Almost surely, 2918819918819 is an apocalyptic number.

918819918819 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

918819918819 is a deficient number, since it is larger than the sum of its proper divisors (543657793149).

918819918819 is a wasteful number, since it uses less digits than its factorization.

918819918819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19300 (or 19297 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 72.

The spelling of 918819918819 in words is "nine hundred eighteen billion, eight hundred nineteen million, nine hundred eighteen thousand, eight hundred nineteen".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9281 9901 9999 27843 29703 83529 89109 102091 108911 306273 326733 918819 937381 980199 1000001 2812143 3000003 8436429 9000009 10311191 11000011 30933573 33000033 91891181 92800719 99000099 275673543 827020629 1010802991 3032408973 9097226919 9281009281 27843027843 83529083529 102091102091 306273306273 918819918819