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433434006355045 = 517173111726387897
BaseRepresentation
bin110001010001101001011011…
…1111110110111110001100101
32002211122212221010202100101011
41202203102313332313301211
5423302340321111330140
64133500500024102221
7160203400506621133
oct14243226776676145
92084585833670334
10433434006355045
11116118369a93683
12407424b7904971
13157b08612284b7
147906464224753
15351992e74bcea
hex18a34b7fb7c65

433434006355045 has 32 divisors (see below), whose sum is σ = 554395381963488. Its totient is φ = 324173402431488.

The previous prime is 433434006355039. The next prime is 433434006355061. The reversal of 433434006355045 is 540553600434334.

It can be written as a sum of positive squares in 16 ways, for example, as 20073751179876 + 413360255175169 = 4480374^2 + 20331263^2 .

It is a cyclic number.

It is not a de Polignac number, because 433434006355045 - 215 = 433434006322277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 433434006355045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3231537 + ... + 29619433.

It is an arithmetic number, because the mean of its divisors is an integer number (17324855686359).

Almost surely, 2433434006355045 is an apocalyptic number.

It is an amenable number.

433434006355045 is a deficient number, since it is larger than the sum of its proper divisors (120961375608443).

433434006355045 is a wasteful number, since it uses less digits than its factorization.

433434006355045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26389209.

The product of its (nonzero) digits is 15552000, while the sum is 49.

Adding to 433434006355045 its reverse (540553600434334), we get a palindrome (973987606789379).

The spelling of 433434006355045 in words is "four hundred thirty-three trillion, four hundred thirty-four billion, six million, three hundred fifty-five thousand, forty-five".

Divisors: 1 5 17 85 173 865 1117 2941 5585 14705 18989 94945 193241 966205 3285097 16425485 26387897 131939485 448594249 2242971245 4565106181 22825530905 29475280949 77606805077 147376404745 388034025385 501079776133 2505398880665 5099223604177 25496118020885 86686801271009 433434006355045