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11053613574540 = 22325409661227147
BaseRepresentation
bin1010000011011001111010…
…1101011110100110001100
31110010201022100001110022100
42200312132231132212030
52422100300033341130
635301543204315100
72220411564065655
oct240663655364614
943121270043270
1011053613574540
1135818a1771aa9
1212a63209a2a90
13622474a17764
142a2dd7b8a52c
151427e33e2c60
hexa0d9eb5e98c

11053613574540 has 144 divisors (see below), whose sum is σ = 33662270547360. Its totient is φ = 2935961994240.

The previous prime is 11053613574539. The next prime is 11053613574551. The reversal of 11053613574540 is 4547531635011.

11053613574540 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 3 + 6 + 1 + 35 + 74 + 540 = 666.

It is a super-2 number, since 2×110536135745402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48549247 + ... + 48776393.

It is an arithmetic number, because the mean of its divisors is an integer number (233765767690).

Almost surely, 211053613574540 is an apocalyptic number.

11053613574540 is a gapful number since it is divisible by the number (10) 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 11053613574540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831135273680).

11053613574540 is an abundant number, since it is smaller than the sum of its proper divisors (22608656972820).

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

11053613574540 is a wasteful number, since it uses less digits than its factorization.

11053613574540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228232 (or 228227 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 11053613574540 in words is "eleven trillion, fifty-three billion, six hundred thirteen million, five hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 661 818 1227 1322 1636 1983 2045 2454 2644 3305 3681 3966 4090 4908 5949 6135 6610 7362 7932 8180 9915 11898 12270 13220 14724 18405 19830 23796 24540 29745 36810 39660 59490 73620 118980 227147 270349 454294 540698 681441 811047 908588 1081396 1135735 1351745 1362882 1622094 2044323 2271470 2433141 2703490 2725764 3244188 3407205 4055235 4088646 4542940 4866282 5406980 6814410 8110470 8177292 9732564 10221615 12165705 13628820 16220940 20443230 24331410 40886460 48662820 92903123 150144167 185806246 278709369 300288334 371612492 450432501 464515615 557418738 600576668 750720835 836128107 900865002 929031230 1114837476 1351297503 1393546845 1501441670 1672256214 1801730004 1858062460 2252162505 2702595006 2787093690 3002883340 3344512428 4180640535 4504325010 5405190012 5574187380 6756487515 8361281070 9008650020 13512975030 16722562140 27025950060 61408964303 122817928606 184226892909 245635857212 307044821515 368453785818 552680678727 614089643030 736907571636 921134464545 1105361357454 1228179286060 1842268929090 2210722714908 2763403393635 3684537858180 5526806787270 11053613574540