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112753163027640 = 233512772649101839
BaseRepresentation
bin11001101000110001100100…
…001110101100010010111000
3112210020002121210111122122210
4121220301210032230102320
5104234321434213341030
61035450031002215120
732515101330236052
oct3150614416542270
9483202553448583
10112753163027640
1132a21391073153
121079039a1b44a0
134abb768137565
141dbb3d45488d2
15d07e7db85bb0
hex668c643ac4b8

112753163027640 has 128 divisors (see below), whose sum is σ = 340930990080000. Its totient is φ = 29830054560768.

The previous prime is 112753163027587. The next prime is 112753163027719. The reversal of 112753163027640 is 46720361357211.

It is a self number, because there is not a number n which added to its sum of digits gives 112753163027640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107119841 + ... + 1107221679.

It is an arithmetic number, because the mean of its divisors is an integer number (2663523360000).

Almost surely, 2112753163027640 is an apocalyptic number.

112753163027640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112753163027640 is an abundant number, since it is smaller than the sum of its proper divisors (228177827052360).

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

112753163027640 is a wasteful number, since it uses less digits than its factorization.

112753163027640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174629 (or 174625 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 112753163027640 in words is "one hundred twelve trillion, seven hundred fifty-three billion, one hundred sixty-three million, twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 72649 101839 145298 203678 217947 290596 305517 363245 407356 435894 509195 581192 611034 726490 814712 871788 1018390 1089735 1222068 1452980 1527585 1743576 2036780 2179470 2444136 2905960 3055170 4073560 4358940 6110340 8717880 9226423 12220680 12933553 18452846 25867106 27679269 36905692 38800659 46132115 51734212 55358538 64667765 73811384 77601318 92264230 103468424 110717076 129335530 138396345 155202636 184528460 194003295 221434152 258671060 276792690 310405272 369056920 388006590 517342120 553585380 776013180 1107170760 1552026360 7398501511 14797003022 22195504533 29594006044 36992507555 44391009066 59188012088 73985015110 88782018132 110977522665 147970030220 177564036264 221955045330 295940060440 443910090660 887820181320 939609691897 1879219383794 2818829075691 3758438767588 4698048459485 5637658151382 7516877535176 9396096918970 11275316302764 14094145378455 18792193837940 22550632605528 28188290756910 37584387675880 56376581513820 112753163027640