Search a number
-
+
4161650567744 = 26413734878731
BaseRepresentation
bin111100100011110101101…
…101000010101001000000
3112201211221120202101012202
4330203311231002221000
51021141030021131434
612503500314412332
7606445403110145
oct74436555025100
915654846671182
104161650567744
111364a452847aa
125726804310a8
13242598cc4a57
141055d414c3cc
15733c27d4a7e
hex3c8f5b42a40

4161650567744 has 112 divisors (see below), whose sum is σ = 8500767977856. Its totient is φ = 2020242124800.

The previous prime is 4161650567699. The next prime is 4161650567813. The reversal of 4161650567744 is 4477650561614.

It is a self number, because there is not a number n which added to its sum of digits gives 4161650567744.

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 15 ways as a sum of consecutive naturals, for example, 476647859 + ... + 476656589.

It is an arithmetic number, because the mean of its divisors is an integer number (75899714088).

Almost surely, 24161650567744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161650567744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250383988928).

4161650567744 is an abundant number, since it is smaller than the sum of its proper divisors (4339117410112).

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

4161650567744 is a wasteful number, since it uses less digits than its factorization.

4161650567744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 56.

The spelling of 4161650567744 in words is "four trillion, one hundred sixty-one billion, six hundred fifty million, five hundred sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 373 487 656 746 974 1312 1492 1948 2624 2984 3896 5968 7792 8731 11936 15293 15584 17462 19967 23872 30586 31168 34924 39934 61172 69848 79868 122344 139696 159736 181651 244688 279392 319472 357971 363302 489376 558784 638944 715942 726604 978752 1277888 1431884 1453208 2863768 2906416 3256663 4251997 5727536 5812832 6513326 7447691 8503994 11455072 11625664 13026652 14895382 17007988 22910144 26053304 29790764 34015976 52106608 59581528 68031952 104213216 119163056 133523183 136063904 174331877 208426432 238326112 267046366 272127808 348663754 476652224 534092732 697327508 1068185464 1394655016 1585994881 2136370928 2789310032 3171989762 4272741856 5578620064 6343979524 8545483712 11157240128 12687959048 25375918096 50751836192 65025790121 101503672384 130051580242 260103160484 520206320968 1040412641936 2080825283872 4161650567744