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12494455248816 = 243511328438889
BaseRepresentation
bin1011010111010001011110…
…0100010001011110110000
31122020110101001212021100000
42311310113210101132300
53114202121020430231
642323512402030000
72426460151203462
oct265642744213660
948213331767300
1012494455248816
113a87961292702
121499613948300
136c82b6b886a8
14312a4065a132
1516a021d946e6
hexb5d179117b0

12494455248816 has 120 divisors (see below), whose sum is σ = 36583105562640. Its totient is φ = 4127961470976.

The previous prime is 12494455248763. The next prime is 12494455248829. The reversal of 12494455248816 is 61884255449421.

12494455248816 is a `hidden beast` number, since 1 + 2 + 4 + 94 + 4 + 5 + 52 + 488 + 16 = 666.

12494455248816 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 2×124944552488162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13780101 + ... + 14658788.

It is an arithmetic number, because the mean of its divisors is an integer number (304859213022).

Almost surely, 212494455248816 is an apocalyptic number.

12494455248816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12494455248816 is an abundant number, since it is smaller than the sum of its proper divisors (24088650313824).

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

12494455248816 is a wasteful number, since it uses less digits than its factorization.

12494455248816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28439025 (or 28439007 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 12494455248816 in words is "twelve trillion, four hundred ninety-four billion, four hundred fifty-five million, two hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 243 324 339 432 452 486 648 678 904 972 1017 1296 1356 1808 1944 2034 2712 3051 3888 4068 5424 6102 8136 9153 12204 16272 18306 24408 27459 36612 48816 54918 73224 109836 146448 219672 439344 28438889 56877778 85316667 113755556 170633334 227511112 255950001 341266668 455022224 511900002 682533336 767850003 1023800004 1365066672 1535700006 2047600008 2303550009 3071400012 3213594457 4095200016 4607100018 6142800024 6427188914 6910650027 9214200036 9640783371 12285600048 12854377828 13821300054 18428400072 19281566742 25708755656 27642600108 28922350113 36856800144 38563133484 51417511312 55285200216 57844700226 77126266968 86767050339 110570400432 115689400452 154252533936 173534100678 231378800904 260301151017 347068201356 462757601808 520602302034 694136402712 780903453051 1041204604068 1388272805424 1561806906102 2082409208136 3123613812204 4164818416272 6247227624408 12494455248816