Search a number
-
+
66076322000 = 24531312720011
BaseRepresentation
bin111101100010011101…
…001010100011010000
320022112222020221112012
4331202131022203100
52040311014301000
650204404522052
74526301320123
oct754235124320
9208488227465
1066076322000
11260283a7787
12109809b0328
1363005991b0
1432ab88c3ba
151abae14735
hexf6274a8d0

66076322000 has 160 divisors (see below), whose sum is σ = 173426233344. Its totient is φ = 24204096000.

The previous prime is 66076321937. The next prime is 66076322009. The reversal of 66076322000 is 22367066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66076322009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3291995 + ... + 3312005.

Almost surely, 266076322000 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 66076322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86713116672).

66076322000 is an abundant number, since it is smaller than the sum of its proper divisors (107349911344).

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

66076322000 is a wasteful number, since it uses less digits than its factorization.

66076322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20174 (or 20158 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

Adding to 66076322000 its reverse (22367066), we get a palindrome (66098689066).

The spelling of 66076322000 in words is "sixty-six billion, seventy-six million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 127 130 200 208 250 254 260 325 400 500 508 520 635 650 1000 1016 1040 1270 1300 1625 1651 2000 2032 2540 2600 3175 3250 3302 5080 5200 6350 6500 6604 8255 10160 12700 13000 13208 15875 16510 20011 25400 26000 26416 31750 33020 40022 41275 50800 63500 66040 80044 82550 100055 127000 132080 160088 165100 200110 206375 254000 260143 320176 330200 400220 412750 500275 520286 660400 800440 825500 1000550 1040572 1300715 1600880 1651000 2001100 2081144 2501375 2541397 2601430 3302000 4002200 4162288 5002750 5082794 5202860 6503575 8004400 10005500 10165588 10405720 12706985 13007150 20011000 20331176 20811440 25413970 26014300 32517875 33038161 40022000 40662352 50827940 52028600 63534925 65035750 66076322 101655880 104057200 127069850 130071500 132152644 165190805 203311760 254139700 260143000 264305288 317674625 330381610 508279400 520286000 528610576 635349250 660763220 825954025 1016558800 1270698500 1321526440 1651908050 2541397000 2643052880 3303816100 4129770125 5082794000 6607632200 8259540250 13215264400 16519080500 33038161000 66076322000