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16404040461 = 364310218329
BaseRepresentation
bin11110100011100000…
…11100101100001101
31120100020002121010010
433101300130230031
5232043413243321
611311431303433
71120336020564
oct172160345415
946306077103
1016404040461
116a58720436
12321981ab79
1317156b0923
14b188a8bdb
15660206676
hex3d1c1cb0d

16404040461 has 16 divisors (see below), whose sum is σ = 21930157760. Its totient is φ = 10907015040.

The previous prime is 16404040417. The next prime is 16404040463.

16404040461 is nontrivially palindromic in base 10.

16404040461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16404040461 - 218 = 16403778317 is a prime.

It is a super-2 number, since 2×164040404612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16404040463) 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, 1965345 + ... + 1973673.

It is an arithmetic number, because the mean of its divisors is an integer number (1370634860).

Almost surely, 216404040461 is an apocalyptic number.

It is an amenable number.

16404040461 is a deficient number, since it is larger than the sum of its proper divisors (5526117299).

16404040461 is a wasteful number, since it uses less digits than its factorization.

16404040461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9996.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 16404040461 in words is "sixteen billion, four hundred four million, forty thousand, four hundred sixty-one".

Divisors: 1 3 643 1021 1929 3063 8329 24987 656503 1969509 5355547 8503909 16066641 25511727 5468013487 16404040461