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10404333433 = 133974614373
BaseRepresentation
bin10011011000010010…
…11000011101111001
3222212002120220022201
421230021120131321
5132302002132213
64440224550201
7515554242424
oct115411303571
928762526281
1010404333433
114459a7a77a
122024482361
13c9a6b8320
14709b349bb
1540d62a6dd
hex26c258779

10404333433 has 16 divisors (see below), whose sum is σ = 11259830736. Its totient is φ = 9556842240.

The previous prime is 10404333431. The next prime is 10404333439. The reversal of 10404333433 is 33433340401.

It is a happy number.

10404333433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 273307024 + 10131026409 = 16532^2 + 100653^2 .

It is a cyclic number.

It is not a de Polignac number, because 10404333433 - 21 = 10404333431 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10404333431) by changing a digit.

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, 2377035 + ... + 2381407.

It is an arithmetic number, because the mean of its divisors is an integer number (703739421).

Almost surely, 210404333433 is an apocalyptic number.

10404333433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10404333433 is a deficient number, since it is larger than the sum of its proper divisors (855497303).

10404333433 is a wasteful number, since it uses less digits than its factorization.

10404333433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244.

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 10404333433 its reverse (33433340401), we get a palindrome (43837673834).

The spelling of 10404333433 in words is "ten billion, four hundred four million, three hundred thirty-three thousand, four hundred thirty-three".

Divisors: 1 13 397 461 4373 5161 5993 56849 183017 1736081 2015953 2379221 22569053 26207389 800333341 10404333433