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11444112192 = 263432695153
BaseRepresentation
bin10101010100001111…
…10100101101000000
31002112120010010122010
422222013310231000
5141414143042232
65131331012520
7553411230402
oct125207645500
932476103563
1011444112192
1149429a2967
12227473a140
131104c42426
147a7c78b72
1546ea680cc
hex2aa1f4b40

11444112192 has 112 divisors (see below), whose sum is σ = 31104596160. Its totient is φ = 3711418368.

The previous prime is 11444112191. The next prime is 11444112221. The reversal of 11444112192 is 29121144411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444112191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2218288 + ... + 2223440.

Almost surely, 211444112192 is an apocalyptic number.

11444112192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552298080).

11444112192 is an abundant number, since it is smaller than the sum of its proper divisors (19660483968).

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

11444112192 is a wasteful number, since it uses less digits than its factorization.

11444112192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5470 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The spelling of 11444112192 in words is "eleven billion, four hundred forty-four million, one hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 269 344 516 538 688 807 1032 1076 1376 1614 2064 2152 2752 3228 4128 4304 5153 6456 8256 8608 10306 11567 12912 15459 17216 20612 23134 25824 30918 34701 41224 46268 51648 61836 69402 82448 92536 123672 138804 164896 185072 221579 247344 277608 329792 370144 443158 494688 555216 664737 740288 886316 989376 1110432 1329474 1386157 1772632 2220864 2658948 2772314 3545264 4158471 5317896 5544628 7090528 8316942 10635792 11089256 14181056 16633884 21271584 22178512 33267768 42543168 44357024 59604751 66535536 88714048 119209502 133071072 178814253 238419004 266142144 357628506 476838008 715257012 953676016 1430514024 1907352032 2861028048 3814704064 5722056096 11444112192