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18039073101049 = 7211213242432
BaseRepresentation
bin1000001101000000011001…
…00010110101010011111001
32100212112000000112211212101
410012200030202311103321
54331023010203213144
6102211011421143401
73541165022264200
oct406401442652371
970775000484771
1018039073101049
115825367540400
1220341150bab61
13a0b100a7ac00
1446514ac1a237
152143872ed6d4
hex10680c8b54f9

18039073101049 has 81 divisors (see below), whose sum is σ = 24981931746639. Its totient is φ = 12972099460320.

The previous prime is 18039073101041. The next prime is 18039073101061. The reversal of 18039073101049 is 94010137093081.

The square root of 18039073101049 is 4247243.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2668501938025 + 15370571163024 = 1633555^2 + 3920532^2 .

It is not a de Polignac number, because 18039073101049 - 23 = 18039073101041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18039073101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4251488122 + ... + 4251492364.

Almost surely, 218039073101049 is an apocalyptic number.

18039073101049 is the 4247243-rd square number.

18039073101049 is the 2123622-nd centered octagonal number.

It is an amenable number.

18039073101049 is a deficient number, since it is larger than the sum of its proper divisors (6942858645590).

18039073101049 is an frugal number, since it uses more digits than its factorization.

18039073101049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 18039073101049 in words is "eighteen trillion, thirty-nine billion, seventy-three million, one hundred one thousand, forty-nine".

Divisors: 1 7 11 13 49 77 91 121 143 169 539 637 847 1001 1183 1573 1859 4243 5929 7007 8281 11011 13013 20449 29701 46673 55159 77077 91091 143143 207907 326711 386113 513403 606749 717067 1002001 2286977 2702791 3593821 4247243 5019469 6674239 7887737 18003049 25156747 29730701 35136283 46719673 55214159 86765107 126021343 198033539 234039637 327037711 386499113 607355749 882149401 1386234773 1638277459 2178368929 2574436007 3042515281 4251490243 9703643411 11467942213 15248582503 18021052049 21297606967 28318796077 33467668091 106740077521 126147364343 149083248769 198231572539 234273676637 368144349001 1387621007773 1639915736459 2577010443007 18039073101049