Search a number
-
+
446323060323644 = 22722277158471039
BaseRepresentation
bin110010101111011011010111…
…1011101110011010100111100
32011112022001211110201112011112
41211132312233131303110330
5432000024111420324034
64221125552222141152
7163003530335655200
oct14536665735632474
92145261743645145
10446323060323644
1111a237601a30929
1242084495a217b8
13162071126c440a
147c30219566b00
15368ed48c1a7ce
hex195edaf77353c

446323060323644 has 18 divisors (see below), whose sum is σ = 908586229944960. Its totient is φ = 191281311567192.

The previous prime is 446323060323629. The next prime is 446323060323671.

446323060323644 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 446323060323592 and 446323060323601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1138579235324 + ... + 1138579235715.

It is an arithmetic number, because the mean of its divisors is an integer number (50477012774720).

Almost surely, 2446323060323644 is an apocalyptic number.

It is an amenable number.

446323060323644 is an abundant number, since it is smaller than the sum of its proper divisors (462263169621316).

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

446323060323644 is a wasteful number, since it uses less digits than its factorization.

446323060323644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277158471057 (or 2277158471048 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 50.

The spelling of 446323060323644 in words is "four hundred forty-six trillion, three hundred twenty-three billion, sixty million, three hundred twenty-three thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 2277158471039 4554316942078 9108633884156 15940109297273 31880218594546 63760437189092 111580765080911 223161530161822 446323060323644