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3966714414 = 2321317997163
BaseRepresentation
bin1110110001101111…
…0100001000101110
3101020110001222012200
43230123310020232
531110434330124
61453340242330
7200204342025
oct35433641056
911213058180
103966714414
11175611a283
129285403a6
134b2a690c0
14298b6b8bc
1518339cbc9
hexec6f422e

3966714414 has 48 divisors (see below), whose sum is σ = 9800127792. Its totient is φ = 1148730624.

The previous prime is 3966714403. The next prime is 3966714419. The reversal of 3966714414 is 4144176693.

It is a self number, because there is not a number n which added to its sum of digits gives 3966714414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966714419) 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 23 ways as a sum of consecutive naturals, for example, 494604 + ... + 502559.

It is an arithmetic number, because the mean of its divisors is an integer number (204169329).

Almost surely, 23966714414 is an apocalyptic number.

3966714414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3966714414 is an abundant number, since it is smaller than the sum of its proper divisors (5833413378).

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

3966714414 is a wasteful number, since it uses less digits than its factorization.

3966714414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997201 (or 997198 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3966714414 is about 62981.8578163585. The cubic root of 3966714414 is about 1582.9856506044.

The spelling of 3966714414 in words is "three billion, nine hundred sixty-six million, seven hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 997163 1994326 2991489 5982978 8974467 12963119 16951771 17948934 25926238 33903542 38889357 50855313 77778714 101710626 116668071 152565939 220373023 233336142 305131878 440746046 661119069 1322238138 1983357207 3966714414