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1353634516345 = 517119557133201
BaseRepresentation
bin10011101100101010111…
…001111000110101111001
311210101222010011011222111
4103230222321320311321
5134134220414010340
62513503501252321
7166540216354606
oct23545271706571
94711863134874
101353634516345
11482089439161
1219a4155640a1
139a854b40b47
14497328916ad
15253278e8aea
hex13b2ae78d79

1353634516345 has 16 divisors (see below), whose sum is σ = 1719939389328. Its totient is φ = 1019190988800.

The previous prime is 1353634516343. The next prime is 1353634516357. The reversal of 1353634516345 is 5436154363531.

It can be written as a sum of positive squares in 8 ways, for example, as 13566658576 + 1340067857769 = 116476^2 + 1157613^2 .

It is not a de Polignac number, because 1353634516345 - 21 = 1353634516343 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353634516343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10095745 + ... + 10228945.

It is an arithmetic number, because the mean of its divisors is an integer number (107496211833).

Almost surely, 21353634516345 is an apocalyptic number.

It is an amenable number.

1353634516345 is a deficient number, since it is larger than the sum of its proper divisors (366304872983).

1353634516345 is a wasteful number, since it uses less digits than its factorization.

1353634516345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252780.

The product of its digits is 5832000, while the sum is 49.

Adding to 1353634516345 its reverse (5436154363531), we get a palindrome (6789788879876).

The spelling of 1353634516345 in words is "one trillion, three hundred fifty-three billion, six hundred thirty-four million, five hundred sixteen thousand, three hundred forty-five".

Divisors: 1 5 17 85 119557 133201 597785 666005 2032469 2264417 10162345 11322085 15925111957 79625559785 270726903269 1353634516345