Search a number
-
+
86550879024 = 2433457438401
BaseRepresentation
bin101000010011011010…
…1011001101100110000
322021101212202012122000
41100212311121230300
52404224011112044
6103432205414000
76152545222161
oct1204665315460
9267355665560
1086550879024
1133784795495
121493586a300
13821438b1ac
144290bc5768
1523b866ed69
hex1426d59b30

86550879024 has 80 divisors (see below), whose sum is σ = 248977263840. Its totient is φ = 28787097600.

The previous prime is 86550879011. The next prime is 86550879047. The reversal of 86550879024 is 42097805568.

86550879024 is a `hidden beast` number, since 8 + 6 + 550 + 87 + 9 + 0 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21777 + ... + 416624.

It is an arithmetic number, because the mean of its divisors is an integer number (3112215798).

Almost surely, 286550879024 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 86550879024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488631920).

86550879024 is an abundant number, since it is smaller than the sum of its proper divisors (162426384816).

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

86550879024 is a wasteful number, since it uses less digits than its factorization.

86550879024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438875 (or 438863 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 86550879024 in words is "eighty-six billion, five hundred fifty million, eight hundred seventy-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 457 914 1371 1828 2742 3656 4113 5484 7312 8226 10968 12339 16452 21936 24678 32904 49356 65808 98712 197424 438401 876802 1315203 1753604 2630406 3507208 3945609 5260812 7014416 7891218 10521624 11836827 15782436 21043248 23673654 31564872 47347308 63129744 94694616 189389232 200349257 400698514 601047771 801397028 1202095542 1602794056 1803143313 2404191084 3205588112 3606286626 4808382168 5409429939 7212573252 9616764336 10818859878 14425146504 21637719756 28850293008 43275439512 86550879024