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4000334073697 = 131718101059157
BaseRepresentation
bin111010001101100110011…
…111011100111101100001
3112011102120011022101220001
4322031212133130331201
51011020141010324242
612301421134220001
7562005002405653
oct72154637347541
915142504271801
104000334073697
111302594329135
1254735b954601
132302cb096790
14db88d8626d3
156e0d0499eb7
hex3a3667dcf61

4000334073697 has 8 divisors (see below), whose sum is σ = 4561466907816. Its totient is φ = 3475403357952.

The previous prime is 4000334073677. The next prime is 4000334073713. The reversal of 4000334073697 is 7963704330004.

It can be written as a sum of positive squares in 4 ways, for example, as 1286509451536 + 2713824622161 = 1134244^2 + 1647369^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4000334073697 - 211 = 4000334071649 is a prime.

It is a super-3 number, since 3×40003340736973 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4000334073677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9050529358 + ... + 9050529799.

It is an arithmetic number, because the mean of its divisors is an integer number (570183363477).

Almost surely, 24000334073697 is an apocalyptic number.

It is an amenable number.

4000334073697 is a deficient number, since it is larger than the sum of its proper divisors (561132834119).

4000334073697 is a wasteful number, since it uses less digits than its factorization.

4000334073697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18101059187.

The product of its (nonzero) digits is 1143072, while the sum is 46.

The spelling of 4000334073697 in words is "four trillion, three hundred thirty-four million, seventy-three thousand, six hundred ninety-seven".

Divisors: 1 13 17 221 18101059157 235313769041 307718005669 4000334073697