Search a number
-
+
90466284204 = 223222910973591
BaseRepresentation
bin101010001000000110…
…1011111001010101100
322122111202021101210200
41110100031133022230
52440233332043304
6105320514233500
76351560504502
oct1242015371254
9278452241720
1090466284204
113540394a33a
1215648b85890
1386b9600caa
144542bd8672
152547284e39
hex151035f2ac

90466284204 has 36 divisors (see below), whose sum is σ = 229677280560. Its totient is φ = 30023742240.

The previous prime is 90466284127. The next prime is 90466284253. The reversal of 90466284204 is 40248266409.

90466284204 is a `hidden beast` number, since 90 + 466 + 2 + 84 + 20 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90466284204.

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 11 ways as a sum of consecutive naturals, for example, 5478552 + ... + 5495039.

It is an arithmetic number, because the mean of its divisors is an integer number (6379924460).

Almost surely, 290466284204 is an apocalyptic number.

It is an amenable number.

90466284204 is an abundant number, since it is smaller than the sum of its proper divisors (139210996356).

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

90466284204 is a wasteful number, since it uses less digits than its factorization.

90466284204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10973830 (or 10973825 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 90466284204 in words is "ninety billion, four hundred sixty-six million, two hundred eighty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 10973591 21947182 32920773 43894364 65841546 98762319 131683092 197524638 395049276 2512952339 5025904678 7538857017 10051809356 15077714034 22616571051 30155428068 45233142102 90466284204