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11120413152 = 2532334914431
BaseRepresentation
bin10100101101101010…
…00000100111100000
31001201000000112000210
422112311000213200
5140233311210102
65035245014120
7542400644412
oct122665004740
931630015023
1011120413152
114797201aa2
1221a4254340
131082b67634
14776c969b2
1545142736c
hex296d409e0

11120413152 has 96 divisors (see below), whose sum is σ = 30549657600. Its totient is φ = 3535234560.

The previous prime is 11120413111. The next prime is 11120413169. The reversal of 11120413152 is 25131402111.

It is a tau number, because it is divible by the number of its divisors (96).

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, 763377 + ... + 777807.

It is an arithmetic number, because the mean of its divisors is an integer number (318225600).

Almost surely, 211120413152 is an apocalyptic number.

11120413152 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 11120413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274828800).

11120413152 is an abundant number, since it is smaller than the sum of its proper divisors (19429244448).

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

11120413152 is a wasteful number, since it uses less digits than its factorization.

11120413152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14816 (or 14808 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 11120413152 its reverse (25131402111), we get a palindrome (36251815263).

The spelling of 11120413152 in words is "eleven billion, one hundred twenty million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 349 368 552 698 736 1047 1104 1396 2094 2208 2792 4188 5584 8027 8376 11168 14431 16054 16752 24081 28862 32108 33504 43293 48162 57724 64216 86586 96324 115448 128432 173172 192648 230896 256864 331913 346344 385296 461792 663826 692688 770592 995739 1327652 1385376 1991478 2655304 3982956 5036419 5310608 7965912 10072838 10621216 15109257 15931824 20145676 30218514 31863648 40291352 60437028 80582704 115837637 120874056 161165408 231675274 241748112 347512911 463350548 483496224 695025822 926701096 1390051644 1853402192 2780103288 3706804384 5560206576 11120413152