Search a number
-
+
991282651112 = 2313313223713613
BaseRepresentation
bin11100110110011010000…
…11001101111111101000
310111202200012012012220102
432123031003031333220
5112220121324313422
62035220003244532
7131421623336465
oct16331503157750
93452605165812
10991282651112
11352445239726
1214014a679748
1372629250830
1435d9a7aa66c
151abbb2bd192
hexe6cd0cdfe8

991282651112 has 64 divisors (see below), whose sum is σ = 2009068624080. Its totient is φ = 455816005632.

The previous prime is 991282651067. The next prime is 991282651159. The reversal of 991282651112 is 211156282199.

It can be written as a sum of positive squares in 8 ways, for example, as 75238276 + 991207412836 = 8674^2 + 995594^2 .

It is a super-3 number, since 3×9912826511123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72812018 + ... + 72825630.

Almost surely, 2991282651112 is an apocalyptic number.

It is an amenable number.

991282651112 is an abundant number, since it is smaller than the sum of its proper divisors (1017785972968).

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

991282651112 is a wasteful number, since it uses less digits than its factorization.

991282651112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16182 (or 16178 counting only the distinct ones).

The product of its digits is 155520, while the sum is 47.

The spelling of 991282651112 in words is "nine hundred ninety-one billion, two hundred eighty-two million, six hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 313 626 1252 2237 2504 4069 4474 8138 8948 13613 16276 17896 27226 29081 32552 54452 58162 108904 116324 176969 232648 353938 700181 707876 1400362 1415752 2800724 4260869 5601448 8521738 9102353 17043476 18204706 30452281 34086952 36409412 55391297 60904562 72818824 110782594 121809124 221565188 243618248 395879653 443130376 791759306 1583518612 3167037224 9531563953 19063127906 38126255812 76252511624 123910331389 247820662778 495641325556 991282651112