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4067666505 = 34571434803
BaseRepresentation
bin1111001001110011…
…1010101001001001
3101111111000212110000
43302130322221021
531312310312010
61511344113213
7202541411010
oct36234725111
911444025400
104067666505
1117a8101061
12956305809
134ca954076
142a8329a77
1518c18e7c0
hexf273aa49

4067666505 has 40 divisors (see below), whose sum is σ = 8333341632. Its totient is φ = 1859503392.

The previous prime is 4067666503. The next prime is 4067666531. The reversal of 4067666505 is 5056667604.

It is not a de Polignac number, because 4067666505 - 21 = 4067666503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4067666501) 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 39 ways as a sum of consecutive naturals, for example, 714567 + ... + 720236.

Almost surely, 24067666505 is an apocalyptic number.

4067666505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4067666505 is an abundant number, since it is smaller than the sum of its proper divisors (4265675127).

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

4067666505 is a wasteful number, since it uses less digits than its factorization.

4067666505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434827 (or 1434818 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4067666505 is about 63778.2604419406. The cubic root of 4067666505 is about 1596.3022033597.

The spelling of 4067666505 in words is "four billion, sixty-seven million, six hundred sixty-six thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 1434803 4304409 7174015 10043621 12913227 21522045 30130863 38739681 50218105 64566135 90392589 116219043 150654315 193698405 271177767 451962945 581095215 813533301 1355888835 4067666505