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268285307657 = 3721373393053
BaseRepresentation
bin1111100111011100001…
…1001110101100001001
3221122111021010201200012
43321313003032230021
513343422014321112
6323125405121305
725245234326423
oct3716703165411
9848437121605
10268285307657
11a3863075564
1243bb4259235
131c3b7444973
14cdb10a9813
156ea327d022
hex3e770ceb09

268285307657 has 8 divisors (see below), whose sum is σ = 275665279176. Its totient is φ = 260912126592.

The previous prime is 268285307627. The next prime is 268285307683. The reversal of 268285307657 is 756703582862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 793605241 + 267491702416 = 28171^2 + 517196^2 .

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 268285307657 - 28 = 268285307401 is a prime.

It is a super-2 number, since 2×2682853076572 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268285307596 and 268285307605.

It is not an unprimeable number, because it can be changed into a prime (268285307627) 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, 1617458 + ... + 1775595.

It is an arithmetic number, because the mean of its divisors is an integer number (34458159897).

Almost surely, 2268285307657 is an apocalyptic number.

It is an amenable number.

268285307657 is a deficient number, since it is larger than the sum of its proper divisors (7379971519).

268285307657 is a wasteful number, since it uses less digits than its factorization.

268285307657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395227.

The product of its (nonzero) digits is 33868800, while the sum is 59.

The spelling of 268285307657 in words is "two hundred sixty-eight billion, two hundred eighty-five million, three hundred seven thousand, six hundred fifty-seven".

Divisors: 1 37 2137 79069 3393053 125542961 7250954261 268285307657