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11484236493552 = 24337457118111981
BaseRepresentation
bin1010011100011110000111…
…0101100011001011110000
31111122212211012001021220210
42213013201311203023300
53001124204020243202
640231441352104120
72263465041362154
oct247074165431360
944585735037823
1011484236493552
11372848a11a729
12135587b695040
13653c607ac704
142b9ba8dc9064
1514dae845dc6c
hexa71e1d632f0

11484236493552 has 160 divisors (see below), whose sum is σ = 30564518013504. Its totient is φ = 3713010278400.

The previous prime is 11484236493547. The next prime is 11484236493607. The reversal of 11484236493552 is 25539463248411.

11484236493552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114842364935522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11484236493492 and 11484236493501.

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, 958531402 + ... + 958543382.

Almost surely, 211484236493552 is an apocalyptic number.

11484236493552 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 11484236493552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282259006752).

11484236493552 is an abundant number, since it is smaller than the sum of its proper divisors (19080281519952).

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

11484236493552 is a wasteful number, since it uses less digits than its factorization.

11484236493552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13667 (or 13661 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 57.

The spelling of 11484236493552 in words is "eleven trillion, four hundred eighty-four billion, two hundred thirty-six million, four hundred ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 457 592 888 914 1181 1371 1776 1828 2362 2742 3543 3656 4724 5484 7086 7312 9448 10968 11981 14172 16909 18896 21936 23962 28344 33818 35943 43697 47924 50727 56688 67636 71886 87394 95848 101454 131091 135272 143772 174788 191696 202908 262182 270544 287544 349576 405816 443297 524364 539717 575088 699152 811632 886594 1048728 1079434 1329891 1619151 1773188 2097456 2158868 2659782 3238302 3546376 4317736 5319564 5475317 6476604 7092752 8635472 10639128 10950634 12953208 14149561 16425951 19969529 21278256 21901268 25906416 28299122 32851902 39939058 42448683 43802536 56598244 59908587 65703804 79878116 84897366 87605072 113196488 119817174 131407608 159756232 169794732 202586729 226392976 239634348 262815216 319512464 339589464 405173458 479268696 523533757 607760187 679178928 810346916 958537392 1047067514 1215520374 1570601271 1620693832 2094135028 2431040748 3141202542 3241387664 4188270056 4862081496 6282405084 6466349377 8376540112 9724162992 12564810168 12932698754 19399048131 25129620336 25865397508 38798096262 51730795016 77596192524 103461590032 155192385048 239254926949 310384770096 478509853898 717764780847 957019707796 1435529561694 1914039415592 2871059123388 3828078831184 5742118246776 11484236493552