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11105449432 = 2371146139107
BaseRepresentation
bin10100101011110111…
…11011010111011000
31001122221212021122221
422111323323113120
5140220443340212
65033552153424
7542126522410
oct122573732730
931587767587
1011105449432
114789811590
12219b238874
13107ca2866c
14774cbd640
1544ee6d807
hex295efb5d8

11105449432 has 64 divisors (see below), whose sum is σ = 26017770240. Its totient is φ = 4317302400.

The previous prime is 11105449417. The next prime is 11105449447. The reversal of 11105449432 is 23494450111.

It is an interprime number because it is at equal distance from previous prime (11105449417) and next prime (11105449447).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264423 + ... + 303529.

It is an arithmetic number, because the mean of its divisors is an integer number (406527660).

Almost surely, 211105449432 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 11105449432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008885120).

11105449432 is an abundant number, since it is smaller than the sum of its proper divisors (14912320808).

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

11105449432 is a wasteful number, since it uses less digits than its factorization.

11105449432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39592 (or 39588 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 11105449432 its reverse (23494450111), we get a palindrome (34599899543).

The spelling of 11105449432 in words is "eleven billion, one hundred five million, four hundred forty-nine thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 461 616 922 1844 3227 3688 5071 6454 10142 12908 20284 25816 35497 39107 40568 70994 78214 141988 156428 273749 283976 312856 430177 547498 860354 1094996 1720708 2189992 3011239 3441416 6022478 12044956 18028327 24089912 36056654 72113308 126198289 144226616 198311597 252396578 396623194 504793156 793246388 1009586312 1388181179 1586492776 2776362358 5552724716 11105449432