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117468740592 = 24337269144407
BaseRepresentation
bin110110101100110101…
…1101011101111110000
3102020012121011022101000
41231121223223233300
53411033444144332
6125544150442000
711325661551240
oct1553153535760
9366177138330
10117468740592
11459000504a5
121a924063300
13b100961938
1459850b9b20
1530c7b52b7c
hex1b59aebbf0

117468740592 has 160 divisors (see below), whose sum is σ = 386782387200. Its totient is φ = 33437498112.

The previous prime is 117468740591. The next prime is 117468740593. The reversal of 117468740592 is 295047864711.

117468740592 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 6 + 8 + 7 + 40 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (117468740591) and next prime (117468740593).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117468740591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741253 + ... + 885659.

It is an arithmetic number, because the mean of its divisors is an integer number (2417389920).

Almost surely, 2117468740592 is an apocalyptic number.

117468740592 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 117468740592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193391193600).

117468740592 is an abundant number, since it is smaller than the sum of its proper divisors (269313646608).

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

117468740592 is a wasteful number, since it uses less digits than its factorization.

117468740592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144700 (or 144688 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 117468740592 in words is "one hundred seventeen billion, four hundred sixty-eight million, seven hundred forty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 269 336 378 432 504 538 756 807 1008 1076 1512 1614 1883 2152 2421 3024 3228 3766 4304 4842 5649 6456 7263 7532 9684 11298 12912 14526 15064 16947 19368 22596 29052 30128 33894 38736 45192 50841 58104 67788 90384 101682 116208 135576 144407 203364 271152 288814 406728 433221 577628 813456 866442 1010849 1155256 1299663 1732884 2021698 2310512 2599326 3032547 3465768 3898989 4043396 5198652 6065094 6931536 7797978 8086792 9097641 10397304 12130188 15595956 16173584 18195282 20794608 24260376 27292923 31191912 36390564 38845483 48520752 54585846 62383824 72781128 77690966 109171692 116536449 145562256 155381932 218343384 233072898 271918381 310763864 349609347 436686768 466145796 543836762 621527728 699218694 815755143 932291592 1048828041 1087673524 1398437388 1631510286 1864583184 2097656082 2175347048 2447265429 2796874776 3263020572 4195312164 4350694096 4894530858 5593749552 6526041144 7341796287 8390624328 9789061716 13052082288 14683592574 16781248656 19578123432 29367185148 39156246864 58734370296 117468740592