Search a number
-
+
433534403314064 = 24134674799317681
BaseRepresentation
bin110001010010011000001100…
…0000110111000000110010000
32002212000111001222100022000202
41202210300120012320012100
5423311011424222022224
64134014542211234332
7160213553443654433
oct14244603006700620
92085014058308022
10433534403314064
111161569a94a7988
1240759a565a89a8
13157ba171053320
14790b269c9781a
15351c358748eae
hex18a4c181b8190

433534403314064 has 80 divisors (see below), whose sum is σ = 908415852664320. Its totient is φ = 199247480125440.

The previous prime is 433534403314039. The next prime is 433534403314079. The reversal of 433534403314064 is 460413304435334.

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, 41869304 + ... + 51186984.

It is an arithmetic number, because the mean of its divisors is an integer number (11355198158304).

Almost surely, 2433534403314064 is an apocalyptic number.

It is an amenable number.

433534403314064 is an abundant number, since it is smaller than the sum of its proper divisors (474881449350256).

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

433534403314064 is a wasteful number, since it uses less digits than its factorization.

433534403314064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9318648 (or 9318642 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 47.

Adding to 433534403314064 its reverse (460413304435334), we get a palindrome (893947707749398).

The spelling of 433534403314064 in words is "four hundred thirty-three trillion, five hundred thirty-four billion, four hundred three million, three hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 467 479 934 958 1868 1916 3736 3832 6071 6227 7472 7664 12142 12454 24284 24908 48568 49816 97136 99632 223693 447386 894772 1789544 2908009 3579088 5816018 9317681 11632036 18635362 23264072 37270724 46528144 74541448 121129853 149082896 242259706 484519412 969038824 1938077648 4351357027 4463169199 8702714054 8926338398 17405428108 17852676796 34810856216 35705353592 56567641351 58021199587 69621712432 71410707184 113135282702 116042399174 226270565404 232084798348 452541130808 464169596696 905082261616 928339193392 2084300015933 4168600031866 8337200063732 16674400127464 27095900207129 33348800254928 54191800414258 108383600828516 216767201657032 433534403314064