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433668067136 = 2661337332933
BaseRepresentation
bin1100100111110001010…
…00011000111101000000
31112110101001222101112022
412103320220120331000
524101123011122021
6531120243421012
743221461515103
oct6237050307500
91473331871468
10433668067136
11157a10355577
127006a684768
1331b82926365
1416dbd83873a
15b43257c1ab
hex64f8a18f40

433668067136 has 56 divisors (see below), whose sum is σ = 874953494184. Its totient is φ = 213209671680.

The previous prime is 433668067103. The next prime is 433668067153. The reversal of 433668067136 is 631760866334.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9971220736 + 423696846400 = 99856^2 + 650920^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13151726 + ... + 13184658.

It is an arithmetic number, because the mean of its divisors is an integer number (15624169539).

Almost surely, 2433668067136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433668067136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437476747092).

433668067136 is an abundant number, since it is smaller than the sum of its proper divisors (441285427048).

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

433668067136 is a wasteful number, since it uses less digits than its factorization.

433668067136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36379 (or 36369 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 53.

The spelling of 433668067136 in words is "four hundred thirty-three billion, six hundred sixty-eight million, sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3373 3904 6746 13492 26984 32933 53968 65866 107936 131732 205753 215872 263464 411506 526928 823012 1053856 1646024 2008913 2107712 3292048 4017826 6584096 8035652 13168192 16071304 32142608 64285216 111083009 128570432 222166018 444332036 888664072 1777328144 3554656288 6776063549 7109312576 13552127098 27104254196 54208508392 108417016784 216834033568 433668067136