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11044516112 = 2472227229271
BaseRepresentation
bin10100100100100110…
…11111000100010000
31001111201012112212022
422102103133010100
5140104344003422
65023534151012
7540456560300
oct122223370420
931451175768
1011044516112
114758383473
122182952468
131070212946
1476ab7b600
15449934342
hex2924df110

11044516112 has 120 divisors (see below), whose sum is σ = 25203922560. Its totient is φ = 4674620160.

The previous prime is 11044516069. The next prime is 11044516117. The reversal of 11044516112 is 21161544011.

It is a super-2 number, since 2×110445161122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11044516117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40754537 + ... + 40754807.

It is an arithmetic number, because the mean of its divisors is an integer number (210032688).

Almost surely, 211044516112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11044516112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601961280).

11044516112 is an abundant number, since it is smaller than the sum of its proper divisors (14159406448).

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

11044516112 is a wasteful number, since it uses less digits than its factorization.

11044516112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 11044516112 in words is "eleven billion, forty-four million, five hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 227 229 271 392 454 458 542 784 908 916 1084 1589 1603 1816 1832 1897 2168 3178 3206 3632 3664 3794 4336 6356 6412 7588 11123 11221 12712 12824 13279 15176 22246 22442 25424 25648 26558 30352 44492 44884 51983 53116 61517 62059 88984 89768 103966 106232 123034 124118 177968 179536 207932 212464 246068 248236 363881 415864 430619 434413 492136 496472 727762 831728 861238 868826 984272 992944 1455524 1722476 1737652 2547167 2911048 3014333 3040891 3444952 3475304 5094334 5822096 6028666 6081782 6889904 6950608 10188668 12057332 12163564 14087393 20377336 24114664 24327128 28174786 40754672 48229328 48654256 56349572 98611751 112699144 197223502 225398288 394447004 690282257 788894008 1380564514 1577788016 2761129028 5522258056 11044516112