Search a number
-
+
433845430164 = 223228597421417
BaseRepresentation
bin1100101000000110011…
…00111110011110010100
31112110211102201100212100
412110003030332132110
524102003412231124
6531150021122100
743226044211346
oct6240314763624
91473742640770
10433845430164
11157aa1486a93
12700b9b59330
1331bb05b5bb3
1416dd9207296
15b442e141c9
hex650333e794

433845430164 has 36 divisors (see below), whose sum is σ = 1096705788724. Its totient is φ = 144609743232.

The previous prime is 433845430153. The next prime is 433845430177. The reversal of 433845430164 is 461034548334.

433845430164 is a `hidden beast` number, since 4 + 3 + 3 + 8 + 454 + 30 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 392241669264 + 41603760900 = 626292^2 + 203970^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 818784 + ... + 1240200.

Almost surely, 2433845430164 is an apocalyptic number.

It is an amenable number.

433845430164 is an abundant number, since it is smaller than the sum of its proper divisors (662860358560).

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

433845430164 is a wasteful number, since it uses less digits than its factorization.

433845430164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450024 (or 450019 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 433845430164 its reverse (461034548334), we get a palindrome (894879978498).

The spelling of 433845430164 in words is "four hundred thirty-three billion, eight hundred forty-five million, four hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 28597 57194 85791 114388 171582 257373 343164 421417 514746 842834 1029492 1264251 1685668 2528502 3792753 5057004 7585506 15171012 12051261949 24102523898 36153785847 48205047796 72307571694 108461357541 144615143388 216922715082 433845430164