Search a number
-
+
51065066160 = 24325193336691
BaseRepresentation
bin101111100011101101…
…110001001010110000
311212210210221010201200
4233203231301022300
51314040124104120
635243045331200
73455303620623
oct574355611260
9155723833650
1051065066160
111a724998019
129a91706b00
134a7a60baa4
142685d77dba
1514dd129e90
hexbe3b712b0

51065066160 has 120 divisors (see below), whose sum is σ = 171586909104. Its totient is φ = 13609935360.

The previous prime is 51065066147. The next prime is 51065066161. The reversal of 51065066160 is 6166056015.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51065066161) by changing a digit.

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, 1373415 + ... + 1410105.

Almost surely, 251065066160 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 51065066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85793454552).

51065066160 is an abundant number, since it is smaller than the sum of its proper divisors (120521842944).

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

51065066160 is a wasteful number, since it uses less digits than its factorization.

51065066160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38643 (or 38634 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 51065066160 in words is "fifty-one billion, sixty-five million, sixty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1933 3866 5799 7732 9665 11598 15464 17397 19330 23196 28995 30928 34794 36691 38660 46392 57990 69588 73382 77320 86985 92784 110073 115980 139176 146764 154640 173970 183455 220146 231960 278352 293528 330219 347940 366910 440292 463920 550365 587056 660438 695880 733820 880584 1100730 1320876 1391760 1467640 1651095 1761168 2201460 2641752 2935280 3302190 4402920 5283504 6604380 8805840 13208760 26417520 70923703 141847406 212771109 283694812 354618515 425542218 567389624 638313327 709237030 851084436 1063855545 1134779248 1276626654 1418474060 1702168872 2127711090 2553253308 2836948120 3191566635 3404337744 4255422180 5106506616 5673896240 6383133270 8510844360 10213013232 12766266540 17021688720 25532533080 51065066160