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233618640225313 = 724767727351537
BaseRepresentation
bin110101000111100110010100…
…000100000100010000100001
31010122011201112201022201001011
4311013212110010010100201
5221110101433344202223
62144510531031140521
7100131250455304300
oct6507462404042041
91118151481281034
10233618640225313
1168490121a88862
1222250a35b14741
13a0481b2929935
1441992b99d2437
151c01e54ae980d
hexd47994104421

233618640225313 has 6 divisors (see below), whose sum is σ = 271760459037666. Its totient is φ = 200244548764512.

The previous prime is 233618640225277. The next prime is 233618640225389. The reversal of 233618640225313 is 313522046816332.

It can be written as a sum of positive squares in only one way, i.e., 144637471947024 + 88981168278289 = 12026532^2 + 9432983^2 .

It is a de Polignac number, because none of the positive numbers 2k-233618640225313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49), and also a Moran number because the ratio is a prime number: 4767727351537 = 233618640225313 / (2 + 3 + 3 + 6 + 1 + 8 + 6 + 4 + 0 + 2 + 2 + 5 + 3 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233618640225013) 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 5 ways as a sum of consecutive naturals, for example, 2383863675720 + ... + 2383863675817.

It is an arithmetic number, because the mean of its divisors is an integer number (45293409839611).

Almost surely, 2233618640225313 is an apocalyptic number.

It is an amenable number.

233618640225313 is a deficient number, since it is larger than the sum of its proper divisors (38141818812353).

233618640225313 is an equidigital number, since it uses as much as digits as its factorization.

233618640225313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767727351551 (or 4767727351544 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 233618640225313 in words is "two hundred thirty-three trillion, six hundred eighteen billion, six hundred forty million, two hundred twenty-five thousand, three hundred thirteen".

Divisors: 1 7 49 4767727351537 33374091460759 233618640225313