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116041637205 = 34513373731597
BaseRepresentation
bin110110000010010011…
…1101101110101010101
3102002112010210221120000
41230010213231311111
53400123124342310
6125150411001513
711245422433044
oct1540447556525
9362463727500
10116041637205
114523852a60a
121a5a6139299
13ac340b3770
14588b75055b
1530427074c0
hex1b049edd55

116041637205 has 160 divisors (see below), whose sum is σ = 230832327264. Its totient is φ = 55400454144.

The previous prime is 116041637197. The next prime is 116041637221. The reversal of 116041637205 is 502736140611.

116041637205 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 416 + 37 + 205 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 33811486641 + 82230150564 = 183879^2 + 286758^2 .

It is not a de Polignac number, because 116041637205 - 23 = 116041637197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 116041637205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72661467 + ... + 72663063.

Almost surely, 2116041637205 is an apocalyptic number.

116041637205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116041637205 is a deficient number, since it is larger than the sum of its proper divisors (114790690059).

116041637205 is a wasteful number, since it uses less digits than its factorization.

116041637205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 116041637205 its reverse (502736140611), we get a palindrome (618777777816).

The spelling of 116041637205 in words is "one hundred sixteen billion, forty-one million, six hundred thirty-seven thousand, two hundred five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 81 111 117 135 185 195 333 351 373 405 481 555 585 999 1053 1119 1443 1597 1665 1755 1865 2405 2997 3357 4329 4791 4849 4995 5265 5595 7215 7985 10071 12987 13801 14373 14547 14985 16785 20761 21645 23955 24245 30213 38961 41403 43119 43641 50355 59089 62283 64935 69005 71865 72735 103805 124209 129357 130923 151065 177267 179413 186849 194805 207015 215595 218205 295445 311415 372627 392769 531801 538239 560547 595681 621045 646785 654615 768157 886335 897065 934245 1117881 1595403 1614717 1681641 1787043 1863135 1963845 2304471 2659005 2691195 2802735 2978405 3840785 4786209 4844151 5361129 5589405 6913413 7743853 7977015 8073585 8408205 8935215 11522355 14532453 16083387 20740239 22040197 23231559 23931045 24220755 26805645 34567065 38719265 48250161 62220717 66120591 69694677 72662265 80416935 103701195 110200985 116157795 198361773 209084031 241250805 286522561 311103585 330602955 348473385 595085319 627252093 859567683 991808865 1045420155 1432612805 1785255957 2578703049 2975426595 3136260465 4297838415 7736109147 8926279785 12893515245 23208327441 38680545735 116041637205