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11160551136 = 253717257467
BaseRepresentation
bin10100110010011100…
…00111111011100000
31001210210112201222210
422121032013323200
5140324100114021
65043241202120
7543366055650
oct123116077340
931723481883
1011160551136
114807927289
1221b5790340
13108b27bc17
1477c344360
15454c04e76
hex299387ee0

11160551136 has 144 divisors (see below), whose sum is σ = 35567634816. Its totient is φ = 3001104384.

The previous prime is 11160551071. The next prime is 11160551137. The reversal of 11160551136 is 63115506111.

11160551136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11160551137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165475 + ... + 222941.

It is an arithmetic number, because the mean of its divisors is an integer number (246997464).

Almost surely, 211160551136 is an apocalyptic number.

11160551136 is a gapful number since it is divisible by the number (16) 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 11160551136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783817408).

11160551136 is an abundant number, since it is smaller than the sum of its proper divisors (24407083680).

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

11160551136 is a wasteful number, since it uses less digits than its factorization.

11160551136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57521 (or 57496 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The spelling of 11160551136 in words is "eleven billion, one hundred sixty million, five hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 289 336 357 408 476 544 578 672 714 816 867 952 1156 1428 1632 1734 1904 2023 2312 2856 3468 3808 4046 4624 5712 6069 6936 8092 9248 11424 12138 13872 16184 24276 27744 32368 48552 57467 64736 97104 114934 172401 194208 229868 344802 402269 459736 689604 804538 919472 976939 1206807 1379208 1609076 1838944 1953878 2413614 2758416 2930817 3218152 3907756 4827228 5516832 5861634 6436304 6838573 7815512 9654456 11723268 12872608 13677146 15631024 16607963 19308912 20515719 23446536 27354292 31262048 33215926 38617824 41031438 46893072 49823889 54708584 66431852 82062876 93786144 99647778 109417168 116255741 132863704 164125752 199295556 218834336 232511482 265727408 328251504 348767223 398591112 465022964 531454816 656503008 697534446 797182224 930045928 1395068892 1594364448 1860091856 2790137784 3720183712 5580275568 11160551136