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4002506689 = 311496531327
BaseRepresentation
bin1110111010010001…
…0110011111000001
3101022221102101222111
43232210112133001
531144120203224
61501055335321
7201120513466
oct35644263701
911287371874
104002506689
111774346575
12938521541
134ba2bb66c
1429d80766d
151865bcd94
hexee9167c1

4002506689 has 16 divisors (see below), whose sum is σ = 4168857600. Its totient is φ = 3838610880.

The previous prime is 4002506687. The next prime is 4002506719. The reversal of 4002506689 is 9866052004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4002506689 - 21 = 4002506687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4002506687) 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, 3015544 + ... + 3016870.

It is an arithmetic number, because the mean of its divisors is an integer number (260553600).

Almost surely, 24002506689 is an apocalyptic number.

It is an amenable number.

4002506689 is a deficient number, since it is larger than the sum of its proper divisors (166350911).

4002506689 is a wasteful number, since it uses less digits than its factorization.

4002506689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160.

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 4002506689 is about 63265.3672161950. The cubic root of 4002506689 is about 1587.7325761218.

The spelling of 4002506689 in words is "four billion, two million, five hundred six thousand, six hundred eighty-nine".

Divisors: 1 31 149 653 1327 4619 20243 41137 97297 197723 866531 3016207 6129413 26862461 129113119 4002506689