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4004666406 = 234131901551
BaseRepresentation
bin1110111010110010…
…0101110000100110
3101100002111010120000
43232230211300212
531200143311111
61501213522130
7201145050156
oct35654456046
911302433500
104004666406
111775591164
129391a3346
134ba8966c0
1429dc0a766
15186897c56
hexeeb25c26

4004666406 has 40 divisors (see below), whose sum is σ = 9663687264. Its totient is φ = 1232204400.

The previous prime is 4004666401. The next prime is 4004666417. The reversal of 4004666406 is 6046664004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004666401) 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 19 ways as a sum of consecutive naturals, for example, 948670 + ... + 952881.

Almost surely, 24004666406 is an apocalyptic number.

4004666406 is an abundant number, since it is smaller than the sum of its proper divisors (5659020858).

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

4004666406 is a wasteful number, since it uses less digits than its factorization.

4004666406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901578 (or 1901569 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4004666406 is about 63282.4336289305. The cubic root of 4004666406 is about 1588.0181002300.

The spelling of 4004666406 in words is "four billion, four million, six hundred sixty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 1901551 3803102 5704653 11409306 17113959 24720163 34227918 49440326 51341877 74160489 102683754 148320978 154025631 222481467 308051262 444962934 667444401 1334888802 2002333203 4004666406