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11090265984 = 27347152809
BaseRepresentation
bin10100101010000100…
…00000011110000000
31001121220021212220000
422111002000132000
5140203102002414
65032250520000
7541553463660
oct122502003600
931556255800
1011090265984
114781190a86
122196136000
131079840685
14772c8a1a0
1544d96eb09
hex295080780

11090265984 has 160 divisors (see below), whose sum is σ = 37719620400. Its totient is φ = 3168626688.

The previous prime is 11090265899. The next prime is 11090265997. The reversal of 11090265984 is 48956209011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3829 + ... + 148980.

Almost surely, 211090265984 is an apocalyptic number.

11090265984 is a gapful number since it is divisible by the number (14) 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 11090265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18859810200).

11090265984 is an abundant number, since it is smaller than the sum of its proper divisors (26629354416).

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

11090265984 is an equidigital number, since it uses as much as digits as its factorization.

11090265984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152842 (or 152821 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11090265984 in words is "eleven billion, ninety million, two hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 152809 305618 458427 611236 916854 1069663 1222472 1375281 1833708 2139326 2444944 2750562 3208989 3667416 4125843 4278652 4889888 5501124 6417978 7334832 8251686 8557304 9626967 9779776 11002248 12377529 12835956 14669664 16503372 17114608 19253934 19559552 22004496 24755058 25671912 28880901 29339328 33006744 34229216 38507868 44008992 49510116 51343824 57761802 58678656 66013488 68458432 77015736 86642703 88017984 99020232 102687648 115523604 132026976 136916864 154031472 173285406 176035968 198040464 205375296 231047208 264053952 308062944 346570812 396080928 410750592 462094416 528107904 616125888 693141624 792161856 924188832 1232251776 1386283248 1584323712 1848377664 2772566496 3696755328 5545132992 11090265984