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11056287991672 = 23711137202764633
BaseRepresentation
bin1010000011100011111000…
…0111100100011101111000
31110010222012201102220220201
42200320332013210131320
52422121234211213142
635303104422331544
72220535060211320
oct240707607443570
943128181386821
1011056287991672
113582a443751a0
1212a6948589bb4
136227acb148c1
142a31ad040280
151428ed0c2ab7
hexa0e3e1e4778

11056287991672 has 128 divisors (see below), whose sum is σ = 26047770877440. Its totient is φ = 4274026260480.

The previous prime is 11056287991669. The next prime is 11056287991729. The reversal of 11056287991672 is 27619978265011.

11056287991672 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171030268 + ... + 171094900.

It is an arithmetic number, because the mean of its divisors is an integer number (203498209980).

Almost surely, 211056287991672 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 11056287991672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023885438720).

11056287991672 is an abundant number, since it is smaller than the sum of its proper divisors (14991482885768).

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

11056287991672 is a wasteful number, since it uses less digits than its factorization.

11056287991672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66821 (or 66817 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 64.

The spelling of 11056287991672 in words is "eleven trillion, fifty-six billion, two hundred eighty-seven million, nine hundred ninety-one thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 137 154 274 308 548 616 959 1096 1507 1918 2027 3014 3836 4054 6028 7672 8108 10549 12056 14189 16216 21098 22297 28378 42196 44594 56756 64633 84392 89188 113512 129266 156079 178376 258532 277699 312158 452431 517064 555398 624316 710963 904862 1110796 1248632 1421926 1809724 1943893 2221592 2843852 3054689 3619448 3887786 4976741 5687704 6109378 7775572 8854721 9953482 12218756 15551144 17709442 19906964 21382823 24437512 35418884 39813928 42765646 61983047 70837768 85531292 97401931 123966094 131011091 171062584 194803862 247932188 262022182 389607724 495864376 524044364 681813517 779215448 917077637 1048088728 1363627034 1441122001 1834155274 2727254068 2882244002 3668310548 5454508136 5764488004 7336621096 10087854007 11528976008 17948519467 20175708014 35897038934 40351416028 71794077868 80702832056 125639636269 143588155736 197433714137 251279272538 394867428274 502558545076 789734856548 1005117090152 1382035998959 1579469713096 2764071997918 5528143995836 11056287991672