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11470866912 = 2532235573109
BaseRepresentation
bin10101010111011011…
…11000100111100000
31002121102110102012200
422223231320213200
5141443020220122
65134124253200
7554154521451
oct125355704740
932542412180
1011470866912
1149570070aa
1222816a1200
13110a64c21b
147ab641128
154720a05ac
hex2abb789e0

11470866912 has 144 divisors (see below), whose sum is σ = 34110629280. Its totient is φ = 3649637376.

The previous prime is 11470866863. The next prime is 11470866917. The reversal of 11470866912 is 21966807411.

11470866912 is a `hidden beast` number, since 11 + 470 + 86 + 6 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11470866917) 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, 3688014 + ... + 3691122.

It is an arithmetic number, because the mean of its divisors is an integer number (236879370).

Almost surely, 211470866912 is an apocalyptic number.

11470866912 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 11470866912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055314640).

11470866912 is an abundant number, since it is smaller than the sum of its proper divisors (22639762368).

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

11470866912 is a wasteful number, since it uses less digits than its factorization.

11470866912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11470866912 in words is "eleven billion, four hundred seventy million, eight hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 557 736 828 1104 1114 1656 1671 2208 2228 3109 3312 3342 4456 5013 6218 6624 6684 8912 9327 10026 12436 12811 13368 17824 18654 20052 24872 25622 26736 27981 37308 38433 40104 49744 51244 53472 55962 71507 74616 76866 80208 99488 102488 111924 115299 143014 149232 153732 160416 204976 214521 223848 230598 286028 298464 307464 409952 429042 447696 461196 572056 614928 643563 858084 895392 922392 1144112 1229856 1287126 1716168 1731713 1844784 2288224 2574252 3432336 3463426 3689568 5148504 5195139 6864672 6926852 10297008 10390278 13853704 15585417 20594016 20780556 27707408 31170834 39829399 41561112 55414816 62341668 79658798 83122224 119488197 124683336 159317596 166244448 238976394 249366672 318635192 358464591 477952788 498733344 637270384 716929182 955905576 1274540768 1433858364 1911811152 2867716728 3823622304 5735433456 11470866912