Search a number
-
+
991198118911 = 721121352124683
BaseRepresentation
bin11100110110010000000…
…00110000001111111111
310111202110022010112112011
432123020000300033333
5112214433204301121
62035203343352051
7131416545666100
oct16331000601777
93452408115464
10991198118911
11352401552400
121401262b2627
1372614894590
1435d8d4843a7
151abb3b717e1
hexe6c80303ff

991198118911 has 72 divisors (see below), whose sum is σ = 1367541684432. Its totient is φ = 711552441600.

The previous prime is 991198118909. The next prime is 991198118959. The reversal of 991198118911 is 119811891199.

991198118911 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 991198118911 - 21 = 991198118909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991198118011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40144776 + ... + 40169458.

It is an arithmetic number, because the mean of its divisors is an integer number (18993634506).

Almost surely, 2991198118911 is an apocalyptic number.

991198118911 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

991198118911 is a deficient number, since it is larger than the sum of its proper divisors (376343565521).

991198118911 is a wasteful number, since it uses less digits than its factorization.

991198118911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25253 (or 25235 counting only the distinct ones).

The product of its digits is 419904, while the sum is 58.

The spelling of 991198118911 in words is "nine hundred ninety-one billion, one hundred ninety-eight million, one hundred eighteen thousand, nine hundred eleven".

Divisors: 1 7 11 13 49 77 91 121 143 521 539 637 847 1001 1573 3647 5731 5929 6773 7007 11011 24683 25529 40117 47411 63041 74503 77077 172781 271513 280819 320879 331877 441287 521521 819533 1209467 1900591 2246153 2986643 3089009 3529669 3650647 5736731 12859843 13304137 15723071 20906501 24707683 38826359 40157117 90018901 141458273 146345507 167177959 172953781 271784513 630132307 990207911 1170245713 1556041003 1838957549 1902491591 6931455377 8191719991 10892287021 12872702843 20228533039 76246009147 90108919901 141599731273 991198118911