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5104330169760 = 253257477474077
BaseRepresentation
bin100101001000111000111…
…0010010101110110100000
3200001222011112201212212200
41022101301302111312200
51132112132010413020
614504521422053200
71034530026400233
oct112216162256640
920058145655780
105104330169760
111698809347258
126a5305a1a200
132b044aa27523
1413909d94541a
158cb96b9e590
hex4a471c95da0

5104330169760 has 144 divisors (see below), whose sum is σ = 17420893065576. Its totient is φ = 1360969795584.

The previous prime is 5104330169749. The next prime is 5104330169791. The reversal of 5104330169760 is 679610334015.

It is a happy number.

5104330169760 is a `hidden beast` number, since 51 + 0 + 433 + 0 + 169 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5016327760656 + 88002409104 = 2239716^2 + 296652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10529842 + ... + 11003918.

Almost surely, 25104330169760 is an apocalyptic number.

It is an amenable number.

5104330169760 is an abundant number, since it is smaller than the sum of its proper divisors (12316562895816).

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

5104330169760 is a wasteful number, since it uses less digits than its factorization.

5104330169760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481575 (or 481564 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 5104330169760 in words is "five trillion, one hundred four billion, three hundred thirty million, one hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7477 14954 22431 29908 37385 44862 59816 67293 74770 89724 112155 119632 134586 149540 179448 224310 239264 269172 299080 336465 358896 448620 474077 538344 598160 672930 717792 897240 948154 1076688 1196320 1345860 1422231 1794480 1896308 2153376 2370385 2691720 2844462 3588960 3792616 4266693 4740770 5383440 5688924 7111155 7585232 8533386 9481540 10766880 11377848 14222310 15170464 17066772 18963080 21333465 22755696 28444620 34133544 37926160 42666930 45511392 56889240 68267088 75852320 85333860 113778480 136534176 170667720 227556960 341335440 682670880 3544673729 7089347458 10634021187 14178694916 17723368645 21268042374 28357389832 31902063561 35446737290 42536084748 53170105935 56714779664 63804127122 70893474580 85072169496 106340211870 113429559328 127608254244 141786949160 159510317805 170144338992 212680423740 255216508488 283573898320 319020635610 340288677984 425360847480 510433016976 567147796640 638041271220 850721694960 1020866033952 1276082542440 1701443389920 2552165084880 5104330169760