Search a number
-
+
86806000000 = 275643403
BaseRepresentation
bin101000011011000001…
…0100111000110000000
322022001122210200211001
41100312002213012000
52410234314000000
6103513401501344
76162063553126
oct1206602470600
9268048720731
1086806000000
11338a57a6675
12149a71a1854
1382551a4755
1442b6a35916
1523d0c6646a
hex14360a7180

86806000000 has 112 divisors (see below), whose sum is σ = 216169498620. Its totient is φ = 34721600000.

The previous prime is 86805999977. The next prime is 86806000007. The reversal of 86806000000 is 60868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86806000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1978299 + ... + 2021701.

Almost surely, 286806000000 is an apocalyptic number.

86806000000 is a gapful number since it is divisible by the number (80) 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 86806000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108084749310).

86806000000 is an abundant number, since it is smaller than the sum of its proper divisors (129363498620).

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

86806000000 is an frugal number, since it uses more digits than its factorization.

86806000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43447 (or 43410 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 86806000000 its reverse (60868), we get a palindrome (86806060868).

The spelling of 86806000000 in words is "eighty-six billion, eight hundred six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 43403 50000 62500 80000 86806 100000 125000 173612 200000 217015 250000 347224 400000 434030 500000 694448 868060 1000000 1085075 1388896 1736120 2000000 2170150 2777792 3472240 4340300 5425375 5555584 6944480 8680600 10850750 13888960 17361200 21701500 27126875 27777920 34722400 43403000 54253750 69444800 86806000 108507500 135634375 138889600 173612000 217015000 271268750 347224000 434030000 542537500 678171875 694448000 868060000 1085075000 1356343750 1736120000 2170150000 2712687500 3472240000 4340300000 5425375000 8680600000 10850750000 17361200000 21701500000 43403000000 86806000000